I wonder if everyone having their high score displayed would be good because I could know if this 2200 player is a 3700 player in disguise, or in fact bad because this 3700 player is actually little more than a 2200 player in disguise, for the little scoundrel maxed his score on some ridiculous freestyle 1vs1 setting and so his current score is a far more accurate representation of what he is playing now.
What is score?
Score is a representation of how well you are winning right now. It shows how well you are playing on your current settings and I would suggest that at any given moment your current score is a far better guide to how well you are going to play in a current game, rather than one's high score, which if your current score is much lower than your high score then it would suggest you are far from as good at the game you are playing at this moment, than the game at which you achieved such glories.
Confused? (I know I am)
When we drop our ranks in pursuit of other goals (and I have done this), we are invariably not dominating games as much as we do on our regular settings. Medal chasers must spend an enormous amount of time playing badly, on maps and settings they barely understand, and this is why their ranks drop through the floor. Now medal chasers don't like this (and it is quite possible the falling rank is the masochistic element of medal-chasing enjoyment) and so may well feel the need to demonstrate 'I am still good really...look, I was a colonel!!!'. But sadly, you medal chasers out there, when you have a score of 1550 at any given moment that is how good at CC you are, that score is the most accurate representation of your current playing ability.
Now don't think I don't sympathise, I really, really do. But you see I am coming at this from the perspective of trying to consider whether we should pay more attention to current score, high score, or something else all together. It seems to me that displaying a high score from 2010 (when I set mine) is a demonstration of what you were and not what you are, that displaying it is actually a sign of weaknesses for it is declaring to the cc-world an insecurity about how well you are playing now. That posted high score to an extent says to me "I'm a really good player, just on different settings, I'm chasing medals, I'm trying out new things, I'm going through some personal shit right now, I've taken on too many games and am sitting for two others, or anything else that means that at the moment I am a shadow of the player I once was".
My score now is a perfectly accurate representation of how good a player I am on the settings I am currently playing. My high score goes back to a time when I made large standards and dubs look easy and I really was very good back then at what I did. No doubt everyone's high score reflects a time when they were at their best. My current score suggests that I am getting back to where I once was, but it also demonstrates that at what I am playing now, I am not as good as at what I was playing then.