I don't remember him saying it was about Springer... in fact I remember him saying he picked Jerry because it could be a man or a woman... but my memory is an unreliable witness.
I recall during the STP promotion that he saw a Spanish painting called "el macho" (which is totally unknown to me) and he liked the name, and that Jerry was because Springer, because of the tv shit etc he mentions, but I also recall him saying that he said Jerry just without reason like you say...
I bet is a mixture of things, but the Jerry Springer thing was the one I heard that makes more sense specially because of the shit tv reference.
It's like when he explained about "Coyote", he said once that he was watching cartoons with his sons, then in other interviews said that "maybe I wasn´t watching cartoons with my sons, it just came to mind" etc etc etc
I like that he sometimes let the fans to pick up the meaning of the songs, but sometimes he does a mess with explanations as well, LOL