Cine, Your H is such a boob. I can glean from the way he talks that he has a *strong* need to hear words of affirmation. How well and how often do you deliver those?
Could you strike a deal with him and absolutely put a ban on his bragging and chest beating (frickin caveman) and tell him that he is not allowed to say it but you will? Force yourself to cough up, say, 3 things about his prowess after ML and see if it naturally lessens his urge to do it for ya.
I'm certainly not suggesting you say the sorts of things he does but say it in your own way, kwim? If he tries to take that ball and run with it (ok you *know* he will, lol) just merely put your fingertips on his lips and shush him. Train him. He is a ridiculous puppy jumping around looking to have his sexual ego petted. It is NOT attractive whatsoever.
Ask him to try it with you for a month and follow up on your end. Then see if he likes it better your way. I'm betting he will because his way just casts him in a supplicating, juvenile role and makes you sick to your stomach at hearing and seeing his display.
