Player rating for tournaments across all installments of Heroes.

That's why a two-component scheme was proposed: place and result. They decided, as far as I understand, to equalize their importance, which I fully agree with, after analyzing different tournaments.
In such a system, components dependent on the result (the leader's result is the benchmark) and on the place are taken into account, according to a curvilinear function (more concave than in biathlon).
In my opinion, this is the most balanced and simple system!

Kamikaze, you write that "In my opinion, this is the most balanced and simple system," but you haven't really compared the result coefficient and the player's position, so what does "most balanced" mean? Or do you mean that the principle has already been calculated, but the nuances of this system have not yet been fully understood...? That is, you have already decided what needs to be taken into account in the calculations, but you have not yet come to a consensus on how to do it in the most rational way?

Added 10 minutes later

Firstly, for this, a certain quorum of participants must be gathered, below which the tournament cannot "fall" (this number must be determined empirically).

What quorum are you talking about? The number of participants is always spontaneous. Any tournament, even an unofficial one, becomes official when a certain number of players are gathered; the quorum has already been calculated and put into effect. What does it mean: "below which the tournament cannot 'fall'?"

He will find his high place one way or another.

Here again, it's not quite clear: if there are several players of this level, will they periodically change places, giving another player the opportunity to rise? That is, if a strong player A takes 1st place in tournament X, and another equally strong player B takes 2nd place, will B become first in the next tournament Y, and A will take second place? In order for, as you say, "He will find his high place one way or another," they simply need to make mistakes in turn. In this example, there are only 2 players, but if we take a real example, i.e., if we consider 4-5 such "guys"? And if a newcomer arrives, but his level of play is exactly the same, how will he then be able to find that high place?

Otherwise, in one tournament, due to the different possibilities of the maps, one can get so far ahead of the others that the rest will be just a formality. The principle of competition is lost.

That "mere formality" will remain in any case, but it will apply to those who take places below 10.

Sincerely, Ley