To be fair, I think this debate is getting a bit technical, because to me, the real question is one of definition, of what is "original members" etc?
For me, the thing about bands with no 'original' members is really the lineup for which history remembers them, or their classic lineup, or probably even more specifically, the lineup with which they first rose to prominence. In most people's minds this tends to be the start of their chart career and similarly generally ends with their drop from prominence, it hit-making career.
I wouldn't tend to agree that potentially myriads of early members who came and went in weeks and months should be entered into the debate simply because they were technically there first, because at least 90% of bands have those people and for me they don't count. For me it's the lineup that rose to prominence and that fans first came to love.
Example - the Jam had Steve Brookes for around 3 years but then he left and they suddenly got famous. No Jam fan would count Steve Brookes as 'original lineup' if Weller suddenly about-turned and decided to do a full reunion.
Example 2 - Another of my favourite bands Squeeze started rising to prominence with Harry Kakoulli on bass but quickly replaced him with John Bentley and for me that is/was the classic Squeeze lineup.
Example 3 - Say Lennon, Harrison and Sutcliffe were still alive, would anybody seriously say that an original lineup reunion should include Stuart Sutcliffe and Pete Best (who is still still alive)? Of course not.
So for me, all the debate about early musicians before being famous is superfluous, not relevant. It's the lineup that became famous first that counts.
Oh and by the way, it's right, some band are calling themselves Dr Feelgood with no classic lineup members. It's the three who were Dr Feelgood when Lee Brilleaux died and carried on with a new singer, and have been like that almost longer than Feelgood were around before them! An absolute travesty and to me, as a Feelgood fan, they should be sued, and flogged and then shot.