That is quite insensitive on your parents part. Do you think it is worth engaging them in a discussion of their real motivation? Maybe they feel you need more independence, or maybe they want to get it on anywhere and everywhere on the weekends, like others have suggested. Many possible reasons.

How selfish of you, OP, to visit your family without even considering how the cats feel about it!

Cats do not care this much. You either need to rehome the cats, or call out your parents on why THEY, not the cats, don't want you at home on weekends. Give the cats to a friend until you can own them again.

Obviously it's your parents lives that are confused and disrupted by your visits.

Sorry, OP. Looks like you'll have to be the grown-up here. Maybe a counselor at school can help. But if you can't make these so-called adults see reason, let other (sane) family or friends enjoy your company on the weekends. Take care of yourself first. Good luck.

Well the cats could miss the op so much that when the op comes home the cats are like yay our favorite human is home then get sad when the op leaves again

Your parents are obviously the ones disrupted and confused by you being at boarding school and are using the cats as a poor excuse. Ask them why THEY find it disruptive and why THEY don't want you visiting anymore as that's seriously insensitive to tell your child they're not welcome back home.

U realize that's a bull excuse for something else, right?

They have given your cats away and are postponing you finding out.

Please call them out on that and what a stupid excuse it is.