HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

1. Map + Battle (this is where skill matters, not Warcraft-style speed).
2. The overall picture of the map - (minus) what you see. In chess, there is the possibility to observe the entire battlefield COMPLETELY. I hope you will forget about chess, unless you are playing with an open map.

The point of the chess timer is not to shorten the game time, but to rationalize its use. You don't criticize the 1 and 2-minute SoD timers for Warcraft-style speeds; otherwise, they should be urgently removed from the game!

When comparing Heroes to chess, don't forget that in Heroes there are moves on the map + battles, while in chess there are only moves with pieces.

That's why I suggested adding time for a turn in battle, even if it's 2, 1, half, or 3-2-1 seconds. I think that with such bonuses, it won't be possible to artificially inflate the time in battle, and the time will be distributed more fairly between turns and opponents.
Or, perhaps, it would be better to add time for a round in battle...