I would get the cat checked. I had the same problem and did everything I could with one of my kitties(I have 3). We had gotten this one from the pound at 5 years old and she started doing this from day one. I took her to the vet and turned out there was nothing wrong with her. Luckily we live in Fl and have a attached garage so she lives in there and outside. I miss her terribly though
.Then I remeber that one of the things she liked to pee on was me and I don't miss her cuddling on my lap or in my bed anymore!
I tell ya,that was the one time that I really hoped that when I brought the cat to the vet that there was something wrong! So I could fix it! I did everything I could and spent $$$.For the the Doc to tell me that my cat had a pee fetish!