When they bought trust wallet I became more confident my alt coins would be safe. I keep most of my alt coins in trust wallet and have ever since it launched in 2017. I feel compared to some others that it is just much safer with Binance and the good history it has.
With trust wallet you can keep your altcoins there but it's a different story if someone still keeps on keeping their altcoins over Binance exchange. Binance truly has a good history and not just that, they've been witnessed on how they handle such situations.
Like when they were hacked and with all these fuds, I guess even not a fan of them will say that they won't be falling down that easy.