Pretty sure banks have a pretty good track record of “keeping your money safe”. Why the fork would anybody trust banks to keep their money safe if they can’t keep your money safe?

I don’t really understand why that statement is even on there?

Unless you mean to argue some anonimity point, which I could agree with considering e.g. Monero would be more anonymous than a bank.

But safe? I’d say the bank is quite safe to store money.