That's great that your visitor is friendlier, Grace.
If Hunter would let me pet him, I'd get right out to borrow or buy a humane trap so I could have him vetted. It doesn't seem he's had any contact with humans the way he acts.
I wonder if the days he doesn't seem to be here if he's visiting someone elses yard and hanging out there for a few days. He certainly isn't skin & bones, but of course, he's a fantastic hunter, that's why we named him that...We saw him hunting for his meal a couple times. He definitely knows the ways of living in the "wild" on his own.