If he has enough grass then I would not be feeding any hay to them and from the pictures he looks fine to me.
Our horses at home usually run out on a quarter section of hay land in the winter and we don't feed them any hay tilll january usally as long as the snow does not get crusty. I think they do much better and have less heath and teeth issues if they can graze as opposed to being fed dry feed as well.
Hay is just dried grass, dried up and packaged pasture stuff. Quality differs. If you're concerned about your horse's weight, your VET's opinion is the only one that counts. Also contact your extension agent about your pasture. Yes, I see that he needs some more groceries, BUT, if he's a hard keeper this might be the heaviest he will get. "Corporal" (1982-2009, RIP) was like that, and he never really got fat, no matter how much hay, or grain or supplements I fed him. The opinions of others can drive you nuts!! My 3 are on 3 acres of pasture this summer, and they've clipped the grass down to one inch, eating all sorts of weeds, instead.
Here is my north pasture, in drought: