You guys should slow way down on what is "obvious."
Faust has random items and GGXX is a better game with Faust than without Faust. It would be a worse game if Faust could control which items he gets. He's a character where you have to take advantage of whatever situation you get, in the moment. Sometimes you have to gamble. I have throw an item in anti air situations on the hope that I get a hammer and I have supered to throw 4 items in those same situations to increase my chance of getting the anti-air. Sometimes that is a smart thing to do. Also, sometimes I combo into his swimming super because banking on the 75% chance it will deal damage is worth it in the situation. There is counter example 1 that "all randomness is bad in competitive games."
Next up is Magic: the Gathering. You can't get much more random than shuffling up cards and drawing. Kai Budde won something like 12 tournaments in a row all around the world. I once read an MTG article about how then only got 2nd place at the next tournament. It was newsworthy that he ONLY got 2nd place in a game that is designed entirely around randomness. Counter-example 2 that "all randomness in competitive games is bad."
Finally, Super Street Fighter 2 Turbo. Dizzy points are random. Damage has a random scaling on it. When you are behind a round, you have a random chance to deal more damage (or not!) and the amount of boost you get is also random. When you do a combo with a Sonic Boom (just an example), the hitstun from projectiles slows down the game. During the slowdown, your input frames are dropped meaning combos with two Sonic Booms tend to fail literally randomly about 50% of the time (lucky for us, because the game would be broken otherwise). Also, the faster the game speed is set, the more frames are dropped in general, so it's possible for your reversal dragon punch to just not come out because of random factors (can be mitigated by piano method). Anyway there's a lot of randomness and even more than I mentioned here. Isn't it possible that some of this lead to closer tournament matches and added to the excitement? Awfully coincidental that the SF game with probably most randomness is also one of the best. Counter example 3 that "all randomness in competitive multiplayer games is bad."