Not true in all of Europe. Here in Denmark you need to have the state-issued identification app MitId ("My Id"), and most (all?) banks use it for authentication. Both for websites, and even when making a (larger?) transfer in their own app. You practically need that MitId app anyway, it is used for so many things, from the tax office to online payments to library cards.
Things are the other way in Finland, where each bank has its own identification app, and many official sites require you to use one for identifying yourself.