*disclaimer* Yes, you can call me crazy for what I am about to say... but it is the only thing that makes sense to me, with this issue.
I'm starting to believe that JH is not even a real PI... that him and his wife were out to make a buck and somehow was able to insert their selves into the Anthony world. I don't think Baez is connected to JH... that DC is the only PI he has used... and while DC does seem shady, those images we have seen with him and JH can be interpreted in various ways and doesn't conclusively show that DC and JH were working together. I think JH, in his faux PI hat, is the one that fueled the Anthony's into believing Caylee was still alive and Casey was telling the truth, to stay in their good graces and wallet... but JH saw the money belt close up on him with the discovery of Caylee's body. To save face and keep leverage in the case through the Anthony's, JH set out to create questions around the finding of Caylee... the wife came up with some questionable pictures, and JH came up with his supposed video... and when no one would buy the BS, he turned to LP, and LP ran with it, putting his own embellishments on things.
I could be wrong, I'll admit that... and all that I have said is opinion and speculation... but after cutting all of the fat away from things, it is the only explanation that makes sense to me. I think JH's press conference Monday is being done by his own accord... he's a drowning man reaching for the last gasp of air as the tide comes in on his scheme, exposing him for what he is: a nasty little crafty opportunist.