Hahahaha my cat does exactly the same. Never sits on lap but puts his head over my lower leg when I lay.

My sister’s cat that’s become the family’s cat does the exact same thing. He’ll do the side flop, and if he isn’t getting adequate attention he’ll begin to wriggle really adorably.

My BSH Daisy does this as well. Of an evening she’s started jumping on to my side of the bed and won’t let me in until she’s had her goodnight belly rubs. I’ve had to start going to bed earlier to make up the time!

I had a calico who would do the same! It took years but eventually she went from being stand-offish to demanding them.