Let me ask you, are you a game designer? Have you crafted a game, in any form, before? I have experience making small text games for programming assignments, but other than that, I don't, and I'm willing to bet that most of the pro players in Brawl haven't, either (if they did, they wouldn't be playing; game design takes a LOT of time). Why is this important? Because we, as players, don't have PERSPECTIVE. We are looking at the game from the inside, out. We see the game as it is happening, and we have a goal, and we want that game to allow us to achieve that goal. For US to modify the game, necessarily, demonstrates a conflict of interests between us and the game; in theory, we could modify the rules so much so that we ALWAYS achieve a win state, couldn't we?
We, in essence, are screwed from the start.
Now, why does this matter when it comes to random chance? Let's look at the critically-acclaimed and award winning board game, Settlers of Catan. In this game, the win state revolves around resource collection. It's actually a very cerebral experience. However, the game board AND the resources collected, revolve around cards drawn and dice rolled. Now, we, as players playing competitively, may say, "Even the inkling of random chance means that I have less of an effect on how I win the game. Random = bad". However, we're saying this from the inside, out. Our objective is to win, and as good players, we want to do anything in our power to do that... even if it means degrading the game! Our allegiance isn't to game integrity, it's to OURSELVES. As such, we are biased. Players, necessarily, CANNOT MAKE THE RULES to a game they play, because of this essential conflict of interest. The game, in essence, is OUR ENEMY.
The designer, however, has no personal stake in wins or losses. His job is to design a game where there is a discreet win state and an objective way to achieve it. Sometimes, such as the case of SoC, random chance is A NECESSARY COMPONENT of the game, in order to create the necessary rules AS A COLLECTIVE that allows for a discreet win state. We, as players, will NEVER know this. We have to trust that the game is not out to get us, that there is a discreet win state, and that we can achieve it.
How does this apply to Brawl? It applies to ALL competitive fighting games in the mantras "don't ban until gamebreaking" and "ban as little as possible". Why is this? Why ban at all? First of all, no designer, however good, is perfect, and no game is either. Oversights happen, especially in video games, and sometimes those oversights (such as the IC freeze glitch in Melee) have to be corrected after the fact or else the game loses its discreet win state (and thus, its integrity). However, the reason we should only ban the most egregious offenders is because we, as players, are BIASED AGAINST THE GAME. If we allow one change to lead to another, and another, and another, we can destroy the integrity of the game without knowing it. This is personified BEST in Brawl with stage bans.
By banning stages preemptively, we remove elements from the game and CHANGE IT INTO ANOTHER GAME. Brawl, in its native state, is about multitasking. It's about juggling many different opponents (in whatever form) at once and coming out on top. Sometimes your opponent is a foe, sometimes it's a stage hazard, and sometimes it's an inanimate object, just as a Waddle Dee or banana peel... but, IN ITS NATIVE STATE, Brawl is a game about multitasking. Now, is our CURRENT game about multitasking? Most of the interactive stages are gone. Items are gone. It's 1v1.
We, through overuse of bans, have literally changed the win conditions of Brawl.
Because we are PLAYERS and not DESIGNERS, we have NO IDEA whether what we are doing is helpful or not... all we know, as players, is that our changes allow us an EASIER time of achieving our (now modified) win state, and that we, as players, enjoy the game more... but as to whether the game has its original integrity, we cannot say, because we lack PERSPECTIVE.