Oh God, my old yard was EXACTLY like that. The first winter I was there, it was fine, but suddenly the next year the owner went MENTAL and closed the winter fields completely. We spent most of the winter with no turnout AT ALL, and then she agreed to let us use her crappiest field (by crappy, I mean it was tiny but really really steep and uneven and it had a bog in the middle of it). It was really only big enough for two or three horses, but this waas what we had to share between over 20 horses. Even with the half day per horse rule that she brought in there were far too many horses, and some owners were just turning their's out in the morning and leaving them all day because they couldn't afford to pay for someone to bring them in. The only ones allowed menage turnout were the unbacked ones - though one hour a day for three baby arabs isn't enough anyway! The YO excluded a two yr old cob gelding from menage turnout on the grounds that he had been backed (don't ask about this one, it was a fiasco all round. He was bought as a three yr old but turned out to be younger. For a NOVICE), which obviously really helped his behaviour!
It was utter chaos, and completely insane given that this YO had at least twice the amount of land she needed for the number of horses she had on the yard. Plus, she used to RENT out land in the winter to local farmers for their sheep and cows.
I say move ASAP. I was only 11 at the time the above occurred, and stayed on the yard for another 6 years because it was the only one I'd ever known (to be fair, the owner did at least get some all weather turnout paddocks built, so the horses did get three hours a day even if it was no substitute for a good run in the field). Then I moved last year, got plenty of turnout all year round and have never been happier!