Different people dislike different stages. A lot of space animal players ban FoD because of the platform setup while some ban FD because of the CGing. A lot of people ban Battlefield because of the ledges. Pokemon Stadium is commonly banned by people when they play space animals because they don't like it. Dreamland 64 is frequently banned because some people don't like fighting floaties there. Yoshi's Story is banned when people don't like that the stage is small and the platform/ledge setup against Marth.
Different tournament hosts would obviously have different opinions on this matter. A space animal player would probably take either FoD or FD off the neutrals, someone who hates space animals would probably take PS off the neutrals, a Peach player might take Battlefield off the neutrals, someone who hates floaties would probably take DL64 off, a Jigglypuff player might take Yoshi's Story off the neutrals.
i still don't understand how this makes it "biased". This puts more power in the hands of the players, and takes away the power of the random number generator
or maybe i'm (or you are?) misunderstanding what "biased" means?
No, it doesn't help them at all. Let's take Fox vs Peach for example. With normal rules, Fox would ban FD so he doesn't get CGed and the Peach player would ban Yoshi's Story.
The worst case scenario for the Fox(either BF, YS, or PS removed from neutrals) with this rule would be him striking FD and let's take FoD because DL64 is slightly better for the matchup since he can camp Peach to hell and back there. Does this benefit the Fox player? Yes, since there is no chance for him to get taken to any stage that remotely mitigates the matchup advantage he has.
The worst case scenario for the Peach(either DL64, FD, or FoD removed from neutrals) with this rule would be to strike YS and either PS or BF. With this, she is GUARANTEED to have to deal with either PS or risk getting battlefielded. Does this benefit the Peach player? Nope.
If you think that this particular matchup is too bad then let's take a look at Fox vs Sheik.
Worst case scenario for Fox with this rule would be either YS, PS, or FD banned and the Sheik player striking the other two stages. He strikes FoD and BF. Dreamland 64 is pretty good for the matchup because while the ceiling is slightly higher the platform setup is pretty good and there is plenty of space to camp. It's also harder to get taken to the ledge because by the Sheik because there is more space on the stage. If the Sheik player can't consistently SDI to escape waveshining it's also a pretty spacious stage and lets you get a few more shines off then on BF or FoD. Overall it helps him because he doesn't have to deal with any minor stage benefits Sheik gets on R1. In the worst case scenario for Sheik player he has to deal with minor stage benefits as well as already losing the matchup.
I'm not reading this, but based on the first sentence, i'm fairly certain that your point would be that certain characters are only good on like two "neutrals"
well, too bad. that's a shortcoming of your character. it's just as likely that some characters are only bad on two "neutrals", and thusly, it would favor them to strike two. If you're only good on two neutrals and one of them is stricken (struck?), then you're only in a 20% chance of getting your stage anyway.
if the goal is to remove randomness and increase determinism, then (i'm sure i read this from somewhere else, but i don't remember who posted it, so no credit given) why are tournament matches started by pressing a big button marked "random"?
No, the stages are pretty neutral overall. The advantage that characters get based off of any neutral is rather minimal and can be overcome by slightly outplaying your opponent, which you would have to do on any stage that would theoretically be 100% fair anyways otherwise you'd lose.
The stage not having an effect doesn't mean the stage doesn't provide an "advantage"... for example, fast fallers get hurt by things like acid (brinstar) and cars (mute city)... not having to deal with that is an advantage for them. Basically, I theorize that the absence of disadvantage can be construed as an advantage in a matchup-based game such as smash.
some characters gain an obvious advantage from having walls/edges as opposed to no walls/edges (link/samus come to mind)... why is it assumed that walls/solid edges are naturally part of the game?
Personally, I like the stage set, but the notion that they are inherently "neutral" seems to be holding back how people view the starting/random stages relative to counterpick stages (and relative to banned stages)
It'd be AMAZING if a stage was completely 100% fair to all matchups and was the only neutral. However, that kind of stage just doesn't exist. As it stands the current neutral stages give a minimal advantage to players.
...but the randomness hurts this
what's the point of having 6 neutral stages?
i'm fairly certain that a game on yoshi's story almost universally favors the opposite characters that dreamland caters to; random is given too much power with stages this varied. Why have the floaties ban story and silently pray that stadium isn't randomed or something like that? why not provide them with an opportunity to eliminate the stages they hate the most?
the thing is, it seems that you want players to have a chance to play on stages that favor them. I want players to have a chance to NOT play on stages that are detrimental to them. whichever option is more important is open for some debate, but given that you agree that the goal of the 1st stage is to not provide an advantage, then we should be suppressing shortcomings, not encouraging advantages
EDIT: I'd like to make it clear that these are two differing arguments at play (are neutrals really neutral? and should people get multiple stage strikes on game 1 instead of randoming?), so I'd really prefer that you don't confuse them, though i'm not optimistic that you'll be able to keep them separated. Ideally to me with regards to "fairness", all legal stages would be in a list and be stricken out systematically, with no smaller subset of 'starter' stages, but this is logistically non-viable... if you want to argue completely in theory, then yes, my opinion would combine both arguments, but in practice, i can't honestly encourage a significant expansion/alteration of the starter stage set
EDIT2: if this isn't the place for theoretical stage discussion, I'll stop if Scar asks me to