I am not completely sure on this, but when we were at OKW in July, we were charged for internet for one night out of six. When I asked at the front desk to have this removed, they verified that I was a member and asked for my blue membership card. We had no problem at SSR the next week so don't know for sure if they would have checked there as well.
Oh and we bought a small wireless travel router for about $49 to use for our 11 day stay and it was the best money we spent. With my work laptop and my college age daughter's two laptops, we had a great signal and great speeds.