If it was easy to implement, then of course that would be nice to see. But I imagine it would be hard to implement, and I can see people complaining that there are too many left handers, or "Do right handers play better than left handers".
I think having a face there is completely different to listing hand preference and shoe size.
I just don't think it is worth the effort required.
But if they decide to do it, then it should be like the NBA player profiles, and should list awards that they have won and highlights in their career.