Yeah, I would. I would probably draw the line at dead mammals-- I worry about disease. I don't know if there's much scientific basis to that worry. I just know that a dead worm doesn't squick me out like a dead deer or chipmunk or squirrel does. Oh, and dead fish are gross, because they stink.
You see, I'm not terribly objective about this. It would all be based on a momentary "does this make my skin crawl?" impulse. Dead worms, in my experience, are mostly dry and odorless, so they don't bother me.
That. Dead bugs don't bother me nearly as much as dead animals.