M2M's Don't Say You Love Me was considered the American theme song for the first movie, and was played a lot back in 1999/2000 when the fact that Pokemon was internationally popular was made a big deal out of.
The English version of Type Wild was produced for the "Pokemon Encore" TV show, which showed reruns of older episodes with both the Japanese and the English audio track available. It's not US music.
Of course, actual US music was used during the English audio track for Pokemon Encore, though.
I think the only instance of dub music actually being used in the Japanese version of the anime is when that awful theme from "The Mastermind of Mirage Pokemon" was used as the opening theme in the Japanese version as well.