I've got a passport wet, resulting in it obviously being very tatty, and never had any problems using it.
It should certainly be OK anywhere within the EU as you only need proof of EU citizenship to enter any Schengen country and your passport still provides that.
It would only be when travelling to countries that are interested in old visas that you might experience difficulties. (For example, some Arab countries might be reluctant to admit anyone with an Israeli visa and vice versa). However such instances are very rare. I've had my passport extensively checked and examined at some national entry points but never once has that included examining old visas and entry stamps.