tough cookies
the set of 'random'/'starter'/'neutral' whatever stages is selected as a subset of all legal stages because those stages are already deemed the most "fair"... if one of those stages is as blatantly unfair as you are making it out to be, that's a problem with the stage list, not the starter stage system, so take up issue with that instead
I agree striking is much more fair overall and you won't find many people who will defend it as adamantly as I will, but to complain about specific matchups on specific stages is an argument against the stages in question, not that they are chosen randomly
I'm illustrating that the players have no say in what stage is chosen when using random. Their only real voice in the matter is the random reset, which doesn't even guarantee that the next spin of the wheel will land on a different stage. There's a difference between a character/stage matchup occurring because the players choose to do so through striking, than something like that occurring on random without any input.
For a national sized tournament with people flying in just to play, why not go ahead and use stage striking for Bracket play only? If the first match will have a HUGE impact on the set, why not allow the players to at least use some strategy and strike the stages they choose, instead of just telling them that the game is going to pick, sorry if you don't like it?
Going random in bracket play isn't going to save a significant amount of time to the point where it's almost necessary to use random instead of stage striking. There's only 3 stages, it won't take long for each player to weed out one stage on their own. In fact, using random resets would take longer than stage striking because you're sitting there waiting for the stage to load, then you quit out the game, etc. Then your opponent might decide to use his random reset, and same thing all over.
I just don't see the benefit of doing so in a situation like bracket play. For pools, I 100% agree with random, it saves a LOT of time in that situation, but in bracket it doesn't really save that much, if any, time.