Edit: apparently I'm not surprised. Or not allowed to be.
The Labour MEP on the legal affairs committee voted in favor of the copyright directive. The conservative member abstained.
It is also a dry subject that most people don't care about until they get a sour letter from some lawyer because Timmy discovered bittorrent.
The "value gap" argument used to justify the EU copyright directive is right there in the 2017 Labour manifesto: https://labour.org.uk/wp-content/uploads/2017/10/labour-mani...
The conservatives have used similar but more general language as well.
As best i can tell, you can draw clear EU sentiments based on age and education. Younger and better educated are largely pro-EU as they are in a position to seek employment within the euro-sphere virtually at will (and may had friends all over thanks to various EU education programs).
Others have watched local industry either moving their activities abroad, or simply running a skeleton crew between contracts. And when a contract hits, most of the people working there may not even speak a language the locals understand.
Yes that may sound like racism, and the extremists can score some cheap points on it, but for the most part the issue is one of livelihood.
Where as previous generations could count on their industrial or service job to carry them through setting up a home and starting a family, now they can't. And they see the EU as the reason why by eroding their access to jobs.
As we've seen with GDPR, not being in the EU wouldn't actually help much with this because almost all websites would still want to sell into (or even be run from) the EU.
How dare Europe even try and protect the rights of private individuals. /s