Player rating for tournaments across all installments of Heroes.

You are both talking about the same thing...

No... I disagree...
As far as I understand, they are talking about different things...
BotINKi supports the idea of calculating the rating using the formula:
Game rating = (Blitz rating/5)*K
where K is the coefficient that brings the leader's rating closer to a rating of 100 points. i.e., K=100/96.89 = 1.032
In this case, it takes into account how much rating a participant gained during the Blitz Tournament.

IronAxe, as far as I understand, is talking about something slightly different...

What coefficient are you talking about? First place in the blitz - 100 rating points. The rest according to the formula. We calculate based on the final table for the blitz.

From this, I understand that:

Game rating = 100-[(100/N)*(R-1)]
where
R is the player's position in the final table,
N is the number of positions in the final table
i.e., this is the formula that was used to calculate the blitz rating in the preliminary stages...
But in this case, it doesn't matter how much rating the player gained... it only matters what place he took...

In short, we are getting bogged down in details again... that's why I suggested not reinventing the wheel... ;)

Below is a table comparing all the listed options (there are currently three of them).
From this table, it can be seen that:
my rating is the most conservative...
The rating with the coefficient is slightly more generous...
And the rating based on the position is the most generous...

Sincerely.