I think it would probably be a good idea to have some sort of separate 2FA device linked at home but I doubt they'll ever implement it. You would want it separate to your phone because if your wallet and phone get stolen you can login to the online banking account and deactivate your stolen cards without having to go to the bank.
Edit: Just to clarify a bit more, most cards here have a tap and go function requiring no PIN up to a certain amount. Although the amount is small I'd still rather have it that no one spends my money.
I don't enter either a regular password nor one-time password for anything (not for transactions, not for login). I only use an identifying mechanism on a second device (a smartphone or a dedicated device). The secondary device has an 8digit pin though, so if it is stolen then it's not (immediately) compromising the security.
I suppose it could be an OTP too, but just not "manually entered"?
Is there a name for this type of authentication? It's just one factor but I do it on a separate device I mean.
Another option is Tumblr's "magic link", where they email you a link that logs you in. That's one of the few places I've seen something like that used as a single factor.