I wrote to them last time this was voted on and expected zero replies (partly due to the late hour), but actually got 2 out of 13, one of which indicated they had actually taken a few seconds to read some of my words. I later read they had received "thousands" of messages on the subject. I can't imagine most of them getting anything close to even this small amount of attention.
The templates might be tedious, but they are there for people who would otherwise post some random flame or rant. Pages encouraging phone calls have scripted templates on them too.
Oh yeah, last campaign of the kind worked great. Members of Parliament really appreciated to have their mailbox (and their voicemail) mail-bombed by hundreds or thousands of such spam and reacted super well.
</sarcasm>
No, in fact, no matter which side and party they belonged to, it really pissed them off and turned them against what the spam advocated for. Many thought it was orchestrated by some GAFAM.
On the other hand, if you're an elected representative you better listen to your constituents. They are there to represent the people, not to decide in their place. Or, at least, that's the idea.
https://act.openmedia.org/savethelink-call
Or email by finding your MEP details on:
http://www.europarl.europa.eu/meps/en/search.html
More info on taking action can br found here (scroll a little):
https://juliareda.eu/eu-copyright-reform/