TLIK, there is no such a status in these Halochos as a choleh. If someone is Halochically insane (a shoteh), then he is patur. If not, he is a mumar. There can be a mumar with a limud zechus on him – fine, but he is still a mumar. I am not telling you what to do, I am just explaining to you such a person’s Halochic status.
