You can absolutely outplay someone on the character select screen. If your opponent is bold enough to pick a character that has the potential to get destroyed by a particular tactic, it's either because he's knowledgeable about his character's limitations and he's confident enough in his character that he can surpass these limitations and win despite them, or he's just simply foolhardy and needs a painful reality check of what a competitive fighter is about. In your case, by picking Pikachu, you're picking a well-rounded character that is more than serviceable in any fighting situation and you have the bonus of ****** space animals with chain grabs. If your opponent picks Fox, you have an inherit advantage- you're using the game's physics and engine to your advantage, which is really the same thing as outplaying them.
Only idiots and fools complain about randomness. People with brains acknowledge that random events are going to occur and they're going to prepare themselves so that if an unfortunate event happens, that they can recover (pardon the pun) from it and move on. Why did you put yourself in a position where the possibility of the ghost platform appearing (and you know that the platform can appear at any time and ruin your day because you studied the stage) can have such an effect on the whole match? Were all the hits that your opponent applied to you unavoidable? Did you think about your recovery path and how the opponent/stage can possibly intercept it? You lost because the ghost platform killed you. Tough ****. You can cry about it all you want, no one's going to let you through the bracket because things didn't go exactly how you wanted it to. Next time, plan your battle better so that random occurrences aren't the deciding factor.
If you don't have the brains to acknowledge that my character has a better damage output than yours, then you don't have the right to complain when I realize that all I need to do to win is guess right on the rock-paper-scissors matchup 50% of the time in order to win and act upon that strategy. I realized that my character has better tools to win than your character and I did what I needed to do to win. So yes, I outplayed you.
Have you even looked at the posts that went after mine (or more specifically, DMG's)? If you have an equal amount of talent with all the characters, then if you want to win, you pick the character with the best set of tools. However, as human beings we all think and play differently, so we pick the character that bests suits our particular playstyle. If you want to be competitive, you have to accept that your character's tools aren't as good as the best character's tools, but that you have the mental capability to use your character's tools to offset that inherit disadvantage. Character diversity is extremely important because as long as the character isn't inherently useless, there are going to be people out there that realize the importance of the character's tools and use them in a way that most people can't even comprehend. More unique toolsets are better because it deepens the game and forces people to really think about which strategy really delivers the highest chances of winning.
Characters are considered broken when they are capable of using one specific strategy that renders every other strategy in the game obsolete (again, dat air fireballz. No one could get through them). The health of a competitive game depends on the influx of players and strategies all contributing in their unique ways toward winning. If the game devolves to 'which player can abuse the one broken strategy the best,' the game isn't going to last at all.
I would love for people to stop complaining about things and focus on actually getting better. Do you know how many more ideas and strategies would come out of it if we all actually focused on different strategies concentrating toward winning? But no, people are always going to complain because they just want to take the easiest path to winning, and when they don't like that path, they'll whine some more until the best path is removed and their path can be given brownie points. Some day, we'll be able to actually behave as a community toward making Brawl the best competitive fighter we can make it. Until that point, I'll just concentrate on getting better with my character.