Songs dowloaded from iTunes won't delete. Only option is to "remove from purchases"

I have these songs on my iTunes that are "dowloaded from icloud" but they belong to someone who shares my account. When I try to delete them, the only option is "hide from iTunes purchases". But I don't want to hide them from my purchases, since the person I share my account with listens to them, but I just want to delete from my iTunes, so they don't show up with my music. My downloaded songs don't show up on the other iTunes that shares my account.