Well I looked at that example and turned off 31 seconds in!
It isn’t original. It is just an old idea revamped for 2016.
As Ian says already done on VH1! I remember WRBQ Tampa Bay’s Q105 doing something similar back in 1988 when Cleveland Wheeler and the Q Morning Zoo breakfast show was locally televised on a local TV channel every day.
Going back to 1967 when DLT was co presenting German TV music show Beat Club for a short while they did something similar with PAMS jingles used on Caroline and other offshore radio stations!