Bare Wires was the first Bluesbreakers album of new studio material since A Hard Road, released 16 months before.
In that time, the band had turned over entirely, expanding to become a septet.
Mayall's musical conception had also expanded -- the album began with a 23-minute "Bare Wires Suite," which included more jazz influences than usual and featured introspective lyrics.
In retrospect, all of this is a bit indulgent, but at the time it helped Mayall out of what had come to seem a blues straitjacket (although he would eventually return to a strict blues approach).
It isn't surprising that he dropped the "Bluesbreakers" name after this release.
The album was Mayall's most successful ever in the U.K., hitting number three.