I know what you mean Hombre but "Queen" still have the cheek to play live (as Queen!) despite the death of Freddie Mercury and the consequent (and creditable, in my opinion) departure of John Deacon. Really, Roger Taylor and Brian May could have the good grace to demote themselves to "Princess" or even "Lady In Waiting" or something but no, they go out there bold as brass as QUEEN. I mean, Queen without Freddie Mercury? Come off it!!
Same with Slade, now touring as Dave Hill (lead guitar) and Don Powell (drums) with a couple of makeweights standing in for lead singer/front man Noddy Holder and co-writer/bassist/multi instrumentalist Jim Lea. It's like George and Ringo having the nerve to tour as "The Beatles".
Of course, Mick Jagger still could take the name of the Stones and tour without Keith Richards, but I think that most fans wouldn't respect that.
There are other examples of secondary members using the name of the band they had been part of. After the break up of Buffalo Springfield, drummer Dewey Martin formed a new group (without Stills, Young and Furay) using the same name. The Yardbirds still exist as a band with drummer Jim McCarty as the only original member (none of the three guitar heroes is there).
Mick Jagger is a main member of the Stones, of course, but the band is too big to be carried just by his name. I don't see him touring as the Stones with other musicians.