Frankly I'm doubting the crab is the culprit, unless the two got into it. If the crab were missing, I'd be more apt to suspect the wrasse of eating the crab.
Don't mistake me: I'm the unhappy owner of an emerald that's eaten two, count them, two bubbles of algae, in a near-year in my tank, and that has no helpful uses I can figure, but outside of one suspicious rip in a goby fin, I've never caught her at anything, and my fish are tiny and peaceful.
If you devise a method of catching the creature, I'll be right behind you trying for mine...but I'd advise against taking the tank apart in a quest for it. I just recovered a goby out of the sump after missing her for, oh, nearly 6 months. Fish can go a lot of strange places, into rocks, etc, and you're just as likely to move a rock the wrong way and trap the wrasse by mistake. There's just no safe way to rearrange a reef with small fish involved, and it kicks up a ton of crap that messes with the chemistry.