I don't own an Epiphone EB-3, but I've got its short-scale single-pickup sibling, the EB-0. It's incredibly neck-heavy, it's not got much in the way of treble, the bridge saddles rattle, the three-point bridge attachment is slightly off (meaning that the front point acts as a pivot unless I have the bridge at a strange angle), and I need to sort out the neck because there's a lot of fretbuzz unless the action is stupidly high.
So there you go - I'm not exactly full of praise for it. On the other hand, I like it a lot! Confusing, huh? I was able to fix or live with the problems I mentioned above, and love the fat, thuddy tone, which is very different to my usual Jazz bass preference.
I've also got a Tanglewood Scorpio, which is a wierd little beastie with a Godin SD-style body, EB-3 pickups, telecaster control plate (with a pull-up pot to give treble cut(!)) and a short-scale neck topped with a Warwick-esque headstock. It has taken over from my EB-0 as my thud machine (I prefer the neck, although the G string is a bit close to the edge), but I still get the EB-0 out once in a while - it looks cooler!