Good call - it fits so well, I'm not sure why it never occurred to me before you mentioned it just now.
That said, I think there's definitely room for improvisation on extra verses here. I'm trying to think of rhymes I like more (I'm sure other people could do better than this), but you could easily slot in more lines like these:
Jason Kreis, Jason Kreis,
Came to New York for the merchandise.
Jason Kreis, Jason Kreis,
Came from Salt Lake and his hair's quite nice.
Jason Kreis, manager,
Drove around England in a Jaguar,
Jason Kreis, manager,
The best head coach in the US, by far.