Kaat apparently just decided to go into broadcasting instead of remaining a coach. Here's an excerpt from a radio interview he did recently, with the question, and Kaat's answer:
Part of your story is about the time when you were a pitching coach for Pete Rose, and you didn't spend a lot of time as a pitching coach. How come you didn't like to how come you didn't want to stay with coaching?
Oh, it isn't that I didn't like it. But Pete had always told me when we when we competed against each other, I found out, that if he got a manager's job, he wanted me to be his pitching coach. And I was honored by that. So when he got the Reds job in late ’84, I went in there and did all of ’85. And then in in my era, if there was a rain delay, they would call a player up to the booth to kind of kill time and tell stories. And I had a lot of producers of TV and radio and said, Boy, you ought to get into this when you're done playing. So suddenly, I began to get calls from different agents and producers, for example of the Yankee games, Don Carney that said you should consider getting into broadcasting. So I found out that could be a very long career if I was able to do it well, so I decided to leave coaching after ’85 and was able to get the Yankee broadcast job in 1986. And got some great training. I worked with Bill White and Phil Rizzuto, Scooter. And Bill to this day is still my broadcast mentor who taught me more about broadcasting in those early days, that really helped me.