Banks want the deposit insurance to fail because once the government chips in they realized a profit on the bad loans they made. It's a well known moral hazard.
No, they want deposit insurance to kick in and succeed (in your view). If the deposit insurance fails, that'll create a bankrun (because their value proposition, risk-free interest, no longer exists), and they'll go under as well.
Privatized gains/socialized losses is a moral hazard, but it doesn't follow that it's in banks' interest for FDIC to fail.
E.g. if I borrow $1,000 from you to bet on a roulette table, you suffer the downside if I lose and can't pay you back, but it's still in my interest to win.