Indeed, Earl has Imp Critical with the two bladed sword, so this is confirmed.
The one that the feats will not work on however is the double-scimitar. He has one of those anyhow just because it looks cool and rednecks love weapons almost as much as beer. He's kind of crazy though, run around with a katana and shortsword, double scimitar, double mace, a pair of nunchucks and a pair of sais. All he need's is a proper doublesided staff and he'd be the whole team of the ninja turtles wrapped up in one!
Gotta love str builds with light armor. He's like a walking rust monster buffet.