I'm not sure what the original poster was talking about when he said that it was removed. Maybe he was referring to a short clip of just that one segment. Killing that short clip makes sharing the video of that particular segment more difficult, even if the segment is technically still online for anyone who wants to pull up the full episode and seek to it.

Fox News posts those short clips to their own site, and to youtube, but they don't allow full episodes on youtube. Random elbonians tend to post complete episodes on youtube, which are usually taken down when found. Those unauthorized videos are often corrupt and can be hard to watch. (The video will skip a few seconds at a time here and there, and the missing parts might show up at the end, or the end might repeat bits from earlier.)

The videos direct from the Fox News website tend to be pretty high quality. The dead periods during commercial breaks have been cut cleanly out. At most, they might miss a few seconds at the beginning or end. For example, Tucker always does a live hand-off to Hannity, but if you watch Tucker's episode and then Hannity's episode, that hand-off is usually broken on one side or the other.

I also haven't re-checked the September 21st full episode link. I'd have to re-download it, since I can't watch it in a browser. It was there when I downloaded the episode a few hours after it aired.