Leave it up to the asker how people are represented in their question - be that with names, numbers, or game specific terms (AP/NAP for MtG; BB, LB, BTN, etc for poker) - If anything I would personally discourage the use of proper names and encourage game specific terms or generic terms where these don't exist.
Using names doesn't really add to the question or answer - it makes things easier to read for some people, but harder for others who may start to associate the names with people. It can also detract from objectivity and draw prejudice into a question by giving the characters an identity (sexism from gendered names, racism from ethnic names like Andrew vs. Aaliyah) we may not want to think about this kind of bias, and may not recognize it, but using names in the question can introduce implicit bias into the reader and answerers.
As long as players are clearly identified we should not try to force a specific identification system on people, and I would have also rolled back a revision myself where the only edit was changing a valid system used by the asker (in this case player A, B, C) with one that the editor prefers (Alice, Bob, Carol).
I'd also like to point out that this edit was made and there are comments on the question referring to A, B and C - the answer also was rolled back and not re-edited. This change creates a disconnect between the edited question, the comments (that now cannot be edited) and the answers (unless all also edited to match) and that can cause even further confusion in readers. This example is not as severe as it could be, since the original identifiers were the same initials, but the change from numbered players to names would be more jarring.