And, in the same vein of Tardis:Even good categories can be removed, (though obviously less problematic here) I'll bring one argument used by User:TheChampionOfTime on the Eleven's talk page: the Eleven was not a Member of the High Council. The One was.
Now, this is where the comparison with Tardis:Even good categories can be removed comes into the game: let's take a look at that category page on both mobile and desktop. Firstly, mobile: the Eleven's name and image are displayed there (and this is keeping in mind that we have no images of the One as of November 2018 to display there). At least in this case, the incarnation image matches the page title.
However, on desktop (Dynamic Categories mode) the missinformation caused by lumping all incarnations together is even bigger. It's the Eight's image that's shown: in this case, not only the page title displayed it's "wrong", but the image being shown doesn't even match the title we're showing.
The same problem happens, of course, with Individuals who pretended to be the Doctor but didn't look like him, where the Nine's picture should be showing (and in this case we even have said picture), but still, we see the Eight's face there, even if he didn't pretend to be the Doctor.