It’s confusing when compression driver size is mentioned without specifying whether exit or diaphragm diameter is meant.
What I can reiterate is that a 2" exit compression driver (with a bigger diaphragm as well - usually 3 or 4") makes a significant difference for a given bandwidth compared to not least a 1" exit driver with a comparably smaller diaphragm. A 2" exit driver with a fitting horn can be crossed lower with much lower distortion, and just sounds more effortless, naturally full, clean and visceral. The sheer energy and unforced presence such a driver can produce is staggering, and importantly it comes in handy at lower SPL’s as well, so it’s not as much about low distortion monstrous output capabilities as it is perceived sonics at more "normal" listening levels. Bigger exit compression drivers however eat away of the usable HF-register, and thus - depending on their implementation and specific iteration - can necessitate a separate compression driver tweeter with a fittingly smaller exit diameter. Bigger exit CD’s + fitting large horns also, energy-wise, cross more smoothly to larger woofer sections below, and prevents them from being pushed to high in frequency at the crossover. Being habitually exposed to such a combo makes it hard, if not impossible to go back to smaller exit-diameter compression drivers, I find.