Since I was pointed to this post, I think I found a solution of a sorts.
I first found
this, but it didn't quite work. But I set the config so that screen wouldn't try to modify /dev/pts. That got me exactly nowhere.
After few hours of testing, I came to a solution that works, but many people won't like because of security problems. Now, if you are the only one using the pc, there are no worries, the way I see it.
The trick is to chmod 4755 screen-4.0.3 and leave it as root:root before squashing it or doing anything with it. You can then use it without sudo or anything, albeit this does something close to sudo-ing.
I hope this helps.
The extension from the 5.x x86 (I'm trying to compile for arm) repo doesn't need this, but I can't seem to grasp why. I've sent an email to althalus to see what he has to say on the matter.
Strange.