It's not exactly an infomercial, but it's getting there.
Ramsey's show is a bit like Dr. Oz. That guy made his bones as a very competent surgeon. Does he still perform surgery? I'm guessing the answer is no. His job is to promote his show, his books, and his brand. Is his show an infomercial? No, but it's a mutual moneymaking agreement between his business and the stations that run the program. They get ratings, are able to sell advertising, and everyone benefits.
Ramsey is markedly different from the other hosts on KTAR. Jim, Bruce, and Mac & Cheese aren't selling books by acolytes or promoting people who follow their "system for financial independence."
It's not exactly an infomercial, but it's certainly infotainment, and undoubtedly self-promotion. It sure ain't news.