I would assume a lot of comedy types would be avid TBS listeners. I've been noticing a few jokes and references that fly over my head, and I have been frantically googling names, places and references trying to pieces together a better picture of The Best Show Universe.
I haven't watched a current SNL since I was in high school, but I did catch a reference to the "Lucky Metal Chicken Wrap Cone" (can't recall the actual name, or the full name Tom, PFT and the caller gave it) during Conan O'Brien's monologue on the monday after TBS aired.
I feel like Tom, John and even some of the callers have rubbed off on my personality and sense of humor, so I wouldn't doubt it has had an effect on many staff writers of everyone from pod-trash to SNL.