Yes I remember you mentioning this before. I'm listening to that feed right now (8:39 ET) and it seems to be live. Does this always happen when you listen to this feed? Or only sometimes?
One thing, if you pause a feed while it's running and then continue playing it, the feed will pick up where you paused it. I tried it just now on my PC to confirm that. I did it with a pause of about 20 seconds but I suppose if it's paused for longer periods of time it will still pick up where you left off. It sounds like something similar to this is happening. Just a thought. I hope this helps.