Player rating for tournaments across all installments of Heroes.

It would also be good if the system took into account the size of the map and the minimum possible Walkthrough time. Perhaps that would be enough.

The first criterion does not provide any information about the difficulty of the map. The second is extremely subjective. Of course, if each map had a record of its Walkthrough time (regardless of who and where it was set), that would be a very powerful tool.

However, I will present one argument that will outweigh all the others – everything depends on the starting save. A different save allows you to complete the map several times faster (for example, having the Dimension Door spell in the pyramid near the starting castle will give an unattainable advantage on a "water-mountainous" map with complex logistics), and therefore only the saves of the participants in this tournament can be compared. And the existence of an optimal Walkthrough among them is very doubtful.

Therefore, both of these criteria will have to be disregarded.

Added 2 minutes later

There is no standard yet, but we can get closer to it... just compare the final results not with some ideal system, but with each individual component, and hope that there will be no contradictions....

Ah, if you provided clear examples to illustrate your words, it would be easier to understand what you are talking about...