Come on, pretty much everyone in EU can send money abroad from their internetbank. It does offer one more opportunity for thieves to launder your money if your account is breached (aside from, say, withdrawing in an ATM or buying stuff online), but this is not a meaningful reason to make someone come to a bank physically.
Do people go to banks in USA regularly? I have been to my bank 3 times in the last 3 years, and two of those were because I was getting a mortgage. A physical visit is expensive both to you and the bank, so everyone has a motivation to reduce them to absolute minimum - everything can be done online, except for verifying identity at account opening or large amount/notarized realestate transactions.
Do people go to banks in USA regularly? I have been to my bank 3 times in the last 3 years, and two of those were because I was getting a mortgage. A physical visit is expensive both to you and the bank, so everyone has a motivation to reduce them to absolute minimum - everything can be done online, except for verifying identity at account opening or large amount/notarized realestate transactions.