DISCUSSIONS on “Rules for online games in HoMM3 and formulas for calculating player rating.”

5.5. The so-called "red rush" is prohibited, meaning that a player playing with the red color is not allowed to attack on the first day of the week with reinforcements purchased on that day:

a) on the Castle of the blue player (even if the Castle is not guarded).

Red rush on the opponent's Castle.

I believe that in the vast majority of cases, a red rush is carried out using archers and flying units as reinforcements. Therefore, it would be sufficient to simply implement a restriction: if a Castle (theoretically) is taken without the participation of flying and ranged units (ballista not included), using only magic and melee units, then it should not be considered a red rush. This is a less controversial criterion than "if the presence of reinforcements can affect the outcome of the battle or the losses in the battle for either player." Although, of course, it doesn't cover 100% of cases, but in most cases, it shouldn't cause complaints from players...