No, they'll take notice if TxSF crushes them. It's one thing for other games to beat them in sales, most of the ones that do have precedence doing so, and it tends to not bother them. However, if they get beat down by a game that has the exact same properties (roster wise, you know what I mean), and they get destroyed by someone else making a game with their own characters? Well, whose ego WOULDN'T be affected by that? It's almost like saying someone else can do your trademark better than you, and everyone else likes them doing it better than you doing your own work.
If Capcom somehow ignores that, I'll almost have to compliment them, because they'd be shaking off a huge kick to their balls.