There will be a performance gain from replacing the rear housing regardless of type because you will be replacing years old with new. However, if the housing is absorbing some of the force when you squeeze the brake then that might even be advantageous. Likely with the age of your bike, and the many commuting miles you put on it in all weather, your Q deserves new cables and housings - all of the brake and shifter cables and housings. It might feel like a new bike.I read this thread with interest since I also have TRP Spyres (with the original cable housings on my Q45).
But my rear brake seems pretty useless since it locks up very quickly, especially downhill. In any hard stop the weight is thrown forward enough that the rear wheel has little traction and the brake doesn't do much. It works ok to bleed off speed coming up to a stop light or sign but that's about it.
In fact I recently inspected my brake pads for wear. The front is getting close to needing replacement, the rear looks nearly new.
So will there be any gain by improving the rear brake performance with compressionless housings?