Sorry, it was no complaint against you. Yes, I know it's a mainstream podcast and a mainstream website, and that's why I'm unhappy. It's quite possible they get it right in the actual body of the talk, but their intro lines which you quote are simply wrong.
I've been quiet on EvC for a while but I'm well known here as a cosmologist with a major dislike of popular science presentations (becasue they are so often wrong!!) This isn't a discussion thread but I'd quite happily explain this particular point if one were opened (but briefly, the fact that the universe expands "faster than the speed of light" has nothing to do with inflation - inflation just makes it happen "even faster" for a very brief period of time)