RELs don't do it this way, they are designed to pick up where the mains drop off.That, my friend, is nonsense.
If the sub has controls, the user chooses where to integrate. No two rooms or systems are identical. Move a complete system from one room to another and it's a whole new ball game.
Most of the time it is done terribly.
It's important to get a sub that has a similar 'signature' to the mains. Tools like REW help immensely.