Any fleece can be labeled anti pill. That just means it won't start to get loose fibers that ball up(called pills). You might have owned a sweater or something that used to get little balls on it you'd have to pick off after washing. Blizzard fleece can be labeled "anti pill" too. Pretty much any type of fleece. You just want to buy anti pill so your pig can't eat the fleece "pills" or balls.
I have a cheaper fleece that won't wick right either, and a few thicker ones that do. It all boils down to the quality of fleece I think. And is hit or miss. One companies "blizzard" fleece might wick, while another's identical feeling and looking wont. There's a great fleece thread here that lists a lot of fleece types and which work best, but again it's 50/50 you buy one that wicks right/is the same as what the thread writer tried. There's just so much variation from company to company.