Driver compression really matters for how loud you listen, how big the room is, and how many drivers there are. A line array won’t exhibit the same amount even if the sensitivity is lower, because you’ve spread the thermal load across all the drivers. Similarly, midranges and tweeters don’t move a lot, and take smaller amounts of power.
Think of a driver like an 8ohm resistor. Flow 2w through it for say 91db, in a 87db sensitive speakers. How much heat are generating? Not much, and not 100% duty cycle. But if you play really bass heavy stuff, and you’re spending hundreds of watts, it’s going to become very real.
But the actual dynamic range for domes is significantly lower, they interact with everything around them a lot more, and they tend to have pretty different properties (including higher distortion).
I personally think the difference in driver properties plays an enormous roll. The QTS is very different, and across the board more well damped drivers sound closer or alike horns, which are also very damped. The difference is the horn can play louder with a wider range when QTS is low, and the non-horn also has lower xmax but with baffle step loss instead of gain (what horns do). There are some other factors like FS, to that statement, but in general it’s true that non-horns have little output anywhere near their FS, and horns might be concert level.