Player rating for tournaments across all installments of Heroes.

I've been thinking about the rating again. After all, the minimum Walkthrough time (in theory) is a necessary element for accounting for the strength of a tournament. For example, the winner completed the map in X days. But theoretically, it can be completed in X/2 days. In that case, the real tournament coefficient will be K=(X/2)/X=0.5. The strength of the tournament will be: S=K*(Average value of the linear rating).
This coefficient can be inserted into my bonus formula.
Bonus=((M(r)-M(t))/n)*sqrt(S), where M(r) is the player's rank in the rating, M(t) is the place in the tournament, and n is the number of players. To make this bonus more significant, an increasing coefficient can be introduced. This coefficient can essentially be arbitrary, as it will affect everyone equally. Of course, the increasing coefficient could be linked to what VDV_forever proposed for Grails:
Regular tournament = 1.
VK stage = 1.4
VoV = 1.6