I strongly agree that you should go ahead and rule out medical causes for the peeing. In the meantime, I would also urge you to "pretend" there is a medical cause. Treat him as though he cannot help it. Treat your house as though he cannot help it. Close the door to any rooms with beds. Keep the blankets off the sofa.
If he does have a medical issue, you will be protecting your belongings and you will be protecting him from failure. If he doesn't, you will still be protecting him from failure.
I had a "bedwetter". If Curie regressed in housetraining for whatever reason (move, anxiety, new people in her life), she would automatically regress on my bed. I still don't know why for sure, although her breeder says a couple of her littermates had the same issue. Maybe they liked the familiar smell. Maybe they liked the soft cushy feel under their feet :). She grew out of this by age 2. Until then, she did not have free access to bedrooms.
Don't get me wrong. I completely understand that this is frustrating. I had to pay drycleaning bills several times, and I would mutter and gripe. But keeping her away from the trouble spots was good for my bedding and for her.