The Beast Tide was the lone reason why the four hegemons did not declare war on each other!
Each Beast Tide was a blow to the military strength of the four hegemons. Each Beast Tide was focused on the four hegemons, implying that genuinely strong mutant monsters would arrive at the hegemons' capital gates.
As a result, their military prowess would be severely harmed. If one declared war on the other, it would be evident that they would suffer massive fatalities, because the hegemons' might was almost equal.
As a result, when the Beast Tide arrived, they would be understaffed to deal with it. That was the reason why this delicate equilibrium of four hegemons remained in place indefinitely... until Primera came knocking on Leon Empire's door.