Bank safe our money , online & offline wallet handle our bitcoin.
They completely different and have separate function. IMO bitcoin never make bank disapper except it must having a crucial reason to take that decision, for example : if your local currency weaker badly depend when you're holding bitcoin ...
Yes banks and wallets are different, Banks hold paper currency while wallets hold internet currency.
But when bitcoins will become so mature that they overrule all the currency and paper currency which bank holds have very little or low value, only then bitcoins will replace the Banks.