Could you clarify what you are implying? I looked at the page, and the text says that the condition markers wrap around the minis, but the picture shows them laying around the base of the mini, taking up a lot of space (IMO).
Both statements are correct. They wrap around the minis by laying around the mini's base.
By "wrap around" they mean the curved edge of the tokens wrap around the edge of the mini base. The picture shows two tokens "wrapping around" the base of a mini. In this way, 6 or so tokens can "wrap around" the base. However, as you correctly point out, in doing so they take up a lot of space.