Calculating the rating for clans!

I can definitely keep track of the clan Player Rating using my system, and for both systems. Let everyone calculate it their own way, and then we'll just suggest the results for a general vote. The winning rating will become the main one, and the rest will be alternative (we'll have several rating federations, just like in chess). Right now, while we don't have enough initial data, we can argue endlessly, but it won't lead to anything.

I agree. I will calculate it using my system, but it will still undergo some changes regarding the aging process. The thing is, if I'm going to calculate the rating for all versions now, I can't find a starting point for when to age the rating for everyone, due to the lack of a specific tournament schedule. Here's what I'm planning for now. I will calculate the ratings for all tournaments starting with the fifth one. There will be a separate table for each version. There will be an additional table where all players from all versions will be combined, and if a player plays in several versions, their rating will be summed up. Only the data from this table will be aged (the aging rate will be chosen individually each time, but it will be the same for everyone). The first aging will be done in this table based on the available results BEFORE the Kanigem tournament, at 33% (because there will already be results from 5 tournaments or so). During the Kanigem tournament, no aging will be performed. After the Kanigem tournament, the rating in this table will be aged again by 33% (because, as I understand it, there will be many stages).
And in the other tables, there will be a purely cumulative rating. However, if a player disappears from the General Table, which I call the Consolidated Current Player Rating for Heroes, due to aging, they will be removed from the tables with the cumulative rating for each individual version of Heroes, or the aging will be carried out in each individual table synchronously with the aging in the general one. The aging percentage may differ, but it will be the same for all versions. I'm still thinking about this.
I wrote all this just for your information. I don't want to discuss it. Especially since my rating is an alternative one.

I've already said that my rating calculation system, as the respected Iron Axe rightly pointed out, should prioritize placement, not results, because the clan rating is not individual; teamwork, team spirit, and so on are more important here. That's why the linear component in my version partially absorbs the non-linear one.

And this also smooths out the Chinese version, where there are many players in the clan, but they can't take high places. However, if they have a couple of strong players, then it is possible that they will eventually take the lead, but I don't see anything wrong with that. That is, there remains an intrigue, and it is not obvious who will be in the lead in the end.