discography of primary artist with backing band
Because an artist can have multiple backing bands (and both can change their names), I expect an artist's solo discography to include albums that also bill the artist's backing bands. For most artists, Allmusic does a pretty good job pulling in albums that are billed to the artist and a backing band. (For a few artists, Allmusic errors on the side of inclusion by pulling in albums that aren't billed to the artist as their primary artist but instead "feature" the artist as their guest.)
I'm against combining any artist with his/her backing band into a performing group. (I don't mind a backing band, by itself, being a primary artist on its own.) Unfortunately, Allmusic already has separate artist pages for solo artists like Scott Miller and for the same artist with his backing band like Scott Miller & the Commonwealth. But the former's discography isn't pulling in a couple of the latter's albums that were released in 2003 and 2006.