I don't think he is tired per se. He is very much aware of how pervy it looks. This is a guy who despite contradictory evidence as to her age when the relationship started pegs it a 24. He is a predator but does not want to be deemed one. Which other Hollywood asshat with a thing for young sexual lovers has tried their hardest to embellish their very young girlfriends? To my knowledge, none. He had such grand delusions of himself and he thought the public held him to the same. Reality has not been kind to him. Normal find in perverse and unsettling. He knows that. I highly doubt he will cheat. He needs a carer for his twilight years. He found one, and he needs to keep her. The "right" age and will still be in good enough condition when he enters his 8th decade.
He isn't too handsy because he knows how unnatural it looks. He knows it gives people the ick save cult and believer.
She was much younger than 24, and that’s what turned many of David’s acquaintances in Malibu away from him — he often appeared in the company of his neighbors, even without Tea. No one wants to be publicly associated not with David Duchovny, but with a sexually addicted old man with a sugar baby.
David was cheating on Tea. Do you really believe that David wouldn’t cheat on his sugar baby? And she can’t leave because she has nothing and nowhere to go, and David knows that. She’ll get half of what David earned during their marriage. Failed tours, failed books, and supporting roles in low‑budget films. That’s not the crazy fees for "The X‑Files" that Tea got in the divorce. So, Mrs. Sugar Baby Duchovny will serve David in exchange for shelter, food, and the hope that he will mention her in his will.