He has other people working for him. Being the boss, maybe he doesn't need to go out as often.
I don't think that the FBI agent that publically spoke to LP's credibility should be discounted here. He would know better than anyone after working with LP over the years and I would certainly trust his opinion over anyone who has never met LP.
LP says things for a reason and while we may not know his reasons...he does. He knows they sound halfcocked and wild. He knows what he is doing and why he is saying it. If it is to draw the ire of some people, if it is to put pressure on others, or if it is to simply keep the case on the front burner until Caylee is found...Bravo!