For people that only need Bitcoin mobile wallet I would still recommend Electrum, Blue wallet or Blockstream Green wallet.
Blockstream Green Wallet has a centralization problem since they hold one of your private key which mean you can't import your wallet from Blockstream Green Wallet to other wallet, this mean you will lose access to your wallet. Although they're non-custodial, better UI/UX and open source, but this problem is really critical IMO. This is the reason why I prefer to use Electrum or Blue wallet.
Would it mean the end of crypto if someone like Binance went bankrupt too?
Yep, it's the end of shitcoins since these coins only listed on centralized exchanges. But Bitcoin wouldn't end since you can trade via P2P or using decentralized exchange e.g. Bisq.