The rating displayed in a game should be based on the board size

[Adugnatad]

Is your feature request related to a problem? Please describe.
If a player has a high rating in 9X9 but a novice in 19X19 the same rating appears on both boards misleading players about the experience of the player

Describe the solution you'd like
no suggestion

Describe alternatives you've considered
The rating should depend on the board size

Additional context
Add any other context or screenshots about the feature request here.

[timstu98]

If an opposition player very rarely plays say 9x9, then the opposition players averaged "overall" score across all formats might be a better idea of their skill rather than for that particular board. Theres are 9 different types after all. It could be a cool idea to show the oppositions overall + specific score for that game?

[BenWestgate]

It's actually worse than this.

I played a "7k" player in blitz 13x13 today and they received handicap despite being ranked higher than me (4.2k vs 4.8k) in blitz 13x13 because my "overall" rating is 5k.
https://online-go.com/game/71132626

So not only should the displayed rating be the rating for that mode (falling back to overall if they haven't played enough to show anything accurate) so should the handicap be assigned.

This issue is bad enough that I'm going to have to make separate accounts for each board size so that I am not constantly penalized when I play the sizes I am weaker at.

I have lost 12 /14 of my last automatch 19x19 games vs humans because it gives me the handicap and opponents for 4-5k but I am a few ranks worse on a 19x19 board.