No. If a client comes to you with an obtuse scheme like that, you ask the question, "Mr. Advertiser, how does that arrangement build awareness and sell your product?" Then you go on to explain how radio works differently from social media.
Sounds to me like you just don't like social media. It's not an "obtuse scheme." You just don't like it.
The advertiser has the money. The guy with the money wins, regardless of your own personal agenda or bias. If one radio station has a closed mind about social media, then he'll take his money to someone who'll take it. That's what competition is all about. You can keep your head buried in the sand. But that doesn't mean everyone else has to.