Depends where in the EU. In the UK, DNS snooping by ISPs is universal, and in fact required by law under the pretext of blocking minors' access to porn.
> ... in fact required by law under the pretext of blocking minors' access to porn.
[citation needed]
Which law specifically? I was under the impression that this was currently being done voluntarily by the ISPs so that the government wouldn't start drafting legislation.
(I could be wrong; I just want a referenced/definitive answer either way.)
The idea was, Porn sites need to obey UK government rules, if they /don't/ (and why would, for example, a Canadian porn site obey those rules?) then a censor (the BBFC that took on this role for video got that job) directs that ISPs should block the offending site using DNS blocks.
In practice it keeps getting pushed out because it's hopeless from all angles.