Not my healthcare per se. He doesn't really "stop" me from doing anything, but he's said again and again that he doesn't think therapy will do me any good. He says I can do it if I want to, but with an attitude that suggests I'll come around to his way of thinking.
I should explain what I mean by "let", because I have a heightened fear of disapproval. I mean that if I asked him if I could use some of our money to buy one, he'd say it was stupid. If I pressed the issue, he might finally relent, but tell me I can't eat fast food for lunch or something, to make up for it in the budget. If I went and bought one without consulting him, he'd be mad because he'd see it as a waste of money. He wouldn't threaten me or physically stop me, but I still don't feel I can do it without his permission.

It's hard to figure out if our relationship is healthy. He's controlling in some ways, but I often feel like it's more because I'm out of control than because he needs to have control. I've been more dependent on him than I should, and have noticed a pattern of dependence in past relationships.
As for my mental health, I mostly just get the feeling he doesn't want to be involved, because he can't understand it and can't fix it. He thinks I can fix everything myself, and counseling is a waste of money. A full-spectrum lamp for mood improvement he would see as akin to voodoo -- in other words, baloney. He's just very cynical and takes a negative view of anything that isn't people just solving their own problems without talking to anyone. He doesn't rely on anyone, and doesn't see why I have to, I think.

He also advised me against Wellbutrin, but a couple years ago it was him who suggested I should get back on medication if I felt bad all the time. And when I discovered I'd been taking it at the wrong time, he said it was good, because he thought the pills weren't working at all, and maybe they will now.