Don't you need to do that anyway, because of gravity?

Wouldn't the causality speed limit just cause those gravity interactions to arrive with a time delay rather than being instantaneous?

Which means that to simulate the universe you essentially have to keep a history of how gravity is propagating, which requires keeping more information than if interactions were instantaneous?

In a sense perhaps this applies to light too, because since it has a finite velocity now you have to keep track of how all the photons individually propagate through spacetime, whereas if light traveled instantly this would not be necessary?

EDIT: The advantage I see in a speed limit is that you should be able to compute what happens in a point of spacetime based only on the information that is around that point (which still might have come from any or all other particles in the universe, mind you). For me, this emphasizes how important locality must be and it basically converts the popular "spooky action at a distance" claims into nonsense to me.

I guess that's why I'm a fan of the Many Worlds Interpretation.