Are you sure that's for paid accounts? I'm using it right now on a browser with no ad blocker and I don't get ads.
I don't understand your question. If you pay, they don't serve you ads, no?
OP was asking if it was limited to the free version, and your answer seemed to imply that the web player served ads for all versions, since it didn't specify the account type. If that wasn't the implication, then my question is no longer valid.