Was on the phone with a great high school friend (who doesn't always share my level of 1980s nostalgia) and he scoffed a bit at my Huey Lewis listen (and hey I'm not that big a fan that I'm gonna go to the mattresses over Sports as a quality album)
But I got thinking about his 1980s output because for a few years in the early to mid 1980s, he was all over the airwaves
Looked up his top 40 hits - he had sixteen (!)
Considering they put the Go-Go's in the R&R HOF with 5 top 40s and Stevie Nicks with 10 (give or take some duets), should Huey be in the discussion.
I'm not fully serious here as my answer would be No - obviously the Go-Go's and Stevie Nicks both had influence on the next generation of female performers while the News are just another innocuously pleasant white guy band who probably didn't influence many.
Still as the R&R HOF has been letting in a bunch of folks, why not Huey!

After all I prefer him to the Foo Fighters who just got in