Earlier quoted context omitted.
You are correct! As soon as I submit a search query on sbb.ch, the same problem occurs with that query. I always concluded that it was the fault of the website creators. Guess I have to switch to Firefox...
I think it might have that behavior because they have the auto-complete tag set to... Though, there is also a lot of other stuff going on in that html element I don't understand.
Though it may not work every time, as browsers & password managers might also suggest new passwords (following whatever their internal generation rules are).