In the end, it seems to be about chasing sugars.
If you have things in line" pH, water ratios, temperature, etc" you should be getting decent efficiency.
If you efficiency sucks, maybe look at all the factors before squeezing the crap out of the bag.
I run north of 80% efficiency in my 1 BBL system, so I wouldn't want to head towards a congress mash just to get another percent or two and also risk other negative contributions to the wort.
I think presses as mentioned above may increase the drain speed of the mash in a larger tun, but would also require an exact sparge amount so the tun ran dry prior to pressing. A lot of bigger breweries fly sparge to a volume and stop at a certain gravity with additional water still in the mash bed. You wouldn't want to press that.
Personally I don't feel the need to go through the additional work to achieve great results.
Cheers
Brian