I shoot both and I think one can be slightly more accurate with a recurve for primarily two reasons. Pound for pound, they're a little quicker, which translates to flatter trajectory, which means less aiming error. Second, they usually have considerably more mass in the riser, which makes them easier to hold on target. Look at the scores at 3-D shoot; the highest scores are almost always posted by recurve shooters. Too, all olympic archers shoot recurves. They wouldn't have to.
That being said, a longbow is easier to maneuver in the woods, IMO, and lends itself to a quicker shooting style, not haphazard, but perhaps not as deliberate as a recurve. They're easier to get on target more quickly. At reasonable ranges, any differences in accuracy will be negligible.
IMO, 50 yards is too far to shoot at a critter with a traditional or any other bow. Even if you can hit the target (and hitting a tennis ball once at 50 yards doesn't mean you can do the same on a critter) there are often things in the way that will deflect your arrow at that range that you can't see, and/or, the animal can take a half a step and what might have been a good shot becomes a bad shot.
It's fine to practice at long ranges, but discipline yourself to only take shots at critters that you know you can make every time. Good luck.