What you describe only happens if a label uses an artist account. Bandcamp introduced label accounts years ago, encourages using them and to my knowledge offers a way to turn artist accounts into label accounts. With a label account both entities, labels and artists, are separated. The label catalogue merely links to the artist's release page while the artist's account can feature releases on several different labels. Of course the release/album page still offers a way back to the label page. It all works as one would expect.
Here's an example for a release by Matthew Halsall on Gondwana Records using a proper label account: https://matthewhalsall.bandcamp.com/album/an-ever-changing-v... - notice the link to Gondwana Records in the upper left corner.