What is the propper sense of the word though?
Is it the tribalistic Blairites vs Brownites when in truth both were fairly centrist and Blairite is now seemingly more associated with being an adherist to blairism i.e. a centrist policy rather than its original tribal connotations
Interestingly somebody has taken the time to list 50+ blairite UK MP's and neither of these two were mentioned in the list.
https://en.wikipedia.org/wiki/Blairism
I have seen people like Cooper described as a blairite when she was of course one of the more prominent brownites (her husband probably being the most prominent)