I still imagine game 1 in tournies will have both players blind pick their character 1st even if the game doesn't show it. The stage getting picked before the character I think is just an attempt to make games 2 and beyond smoother. That way you get less backing out of stage select screen to change character and go back to stage select.
I still believe too many stages in tournies could be a problem. While yes you are right that it would reward people for putting in the time it could also severely punish characters that have a stage weakness. If you put in 15 or 20 stages in competitive (and I'm not saying the stages themselves are bad) but you'd get several stages that were extremely similar. You either end up giving players 4 stage bans and that just makes tournaments run slower (more stages to choose from would also make people spend more time before selecting a stage slowing tournaments down) or some people are going to get stuck on awful stages for their character with high frequency. It would essentially make DSR obsolete. You ban stage A I choose stage B that's remarkably similar.
It would in turn also create an environment less conducive to solo mains. A lot of characters would end up having several really strong counter-picks. Which could lead to more lopsided games 2 and on. I just think having tons of stages would end up doing more harm than good in the long run.
But if the majority of people want 4 battlefield-type stages then my opinion doesn't matter.
In regards to the banning, this is why with the large amount of possible legal stages, you would utilize a random stage pick + ban as I stated on the first page of this thread. It speads everything up, spices things up, and just works better given how Ultimate works as opposed to the current Stage strike/ counterpick system that is currently legal.
It's not in regards to 4 battlefield-type stages. Plenty of the possible legal stages aren't similar to Battlefield or FD, which is why they are in my list. Castle Siege or Frigate Orpheon for instance are nothing like Battlefield or FD, and with hazards off, these could be legal.
Plus, with the random stage select, it falls to the player to either A) Properly ban stages that are "worse" for their main characters, B) Train with their main to make the most out of each stage, or C) Have more than 1 main to cover potential stage weaknesses. It's entirely doable, even for solo mains, to participate in tournaments if the player has the skill and the knowledge.
For clarification, here is my potential list of legal stages with hazards off (given with what we know/can assume about what hazard toggle turns off) and how the random stage select + ban process would work in tournaments.
Battlefield (Including Miiverse, Midgar, Yoshi's Story)
Final Destination (Possibly including Arena Ferox and Willy Caslte [unsure if walls will disqualify])
Dreamland
Yoshi's Island [64] (If Stage Hazard removes the lingering clouds, or makes them untouchable)
Brinstar [Melee] (Assuming no acid and no breakable parts of the stage)
Green Greens [Melee] (Assuming no breakable blocks drop, leaving gaps between the platforms)
Jungle Japes [Melee] (Assuming no rushing water or random fish underneath platforms) *Yay, my favorite pasttime stage could be tournament legal!*
Pokemon Stadium [both 1 & 2]
Castle Siege [Brawl]
Frigate Orpheon [Brawl]
Lylat Cruise [Brawl] (Please let there be no tilting!)
Norfair [Brawl]
Smashville [Brawl]
Warioware Inc [Brawl] (Assuming that no mini-games don't appear)
Yoshi's Island [Brawl] (Assuming platform clouds don't appear)
Find Mii [3ds] (Assuming the Dark Emperor never shows up)
Reset Bomb Forrest [3ds]
Unova Pokemon League [3ds]
Kalos Pokemon League [Wii u]
Mushroom Kingdom U [Wii u]
Town and City [Wii u]
Wuhu island [Wii u]
Skyloft [Wii u]
With random stage pick + ban, the rounds at a tournament would go as followed. All illegal stages are turned off from the random stage switch, stage hazard is toggled off. Match 1, Players open up the random stage switch and each pick 1 legal stage to turn off (banning that stage), close random stage switch, and select random. Random legal stage is selected, players chose their fighters and start. Match 2, Players open up the stage switch again, winner selects 1 legal stage to turn off (aka ban), loser selects 2 legal stages to turn off (same rules apply in the event of a 3rd match), select random to chose a stage, chose their fighters and start.
In a typical best of 3 set, out of the 23 legal stages, either 5 stages will be banned (match ends 2-0) or 8 (match ends 2-1). Following the same rules above, in a best of 5 Grand Finals, either 8 stages will be banned (3-0) 11 stages (3-1) or 14 stages (3-2), leaving at minimum a whopping 9 stages still legal come the final match of a tournament. Current rule set in Smash 4, we only have 6 legal stages period. This is a very nice jump in legal stages.
Also, unlike how the stages reset in a current Smash 4 tournament set (after each match, players re-stage strike which often means they just re-strike the same stages over and over), each ban is permanent for the duration of that set. So, for instance, say player 2 bans Town and City during that banning process of game 1. Town and City would remain off for the rest of their set. This adds more weight to their ban choices.