Just to clarify further, let's consider a real example of a compact speaker that someone might consider pairing with the f113. Take the KEF LS50's, an all round great compact speaker that offers good measured performance and has received many glowing reviews. It has about as much in common with HTIB speakers as a Lotus Elise does with a Toyota Corolla. There are two things worth noting:
1. As a compact speaker with a single 5.25" concentric driver, it's obviously not a displacement champ. IOW, output is restricted by the fact that it doesn't have enough woofer to produce big SPL down low.
2. While the LS50 is displacement limited, the voice coil of the woofer is quite large; this is a consequence of being a concentric driver, and means it can handle a great deal of power.
Now lets consider two compact subs to pair with these speakers, the f113 and the SVS SB13U. While the SB13U isn't quite as potent down low as the JL, it does offer good top end extension to 200+Hz making higher XOs feasible.
So what are the implications? With your THX standard XO of 80Hz, the LS50s simply don't have the guts to keep up with the f113. It can obviously work and sound very good doing it; however, with the SB13U in the picture, options open up. With a higher XO, suddenly the LS50s aren't as badly limited by their modest displacement, which directly translates into more available dynamic range, lower distortion at any given level, and ultimately a better balanced system with superior overall performance.