That’s what I was told in a showroom, that the JL’s go way deeper than the Paradigm.It shouldn’t be hard to find specs or measurements online to see if that’s true.
JL subs are costly and solid physically. But still, the sound of any sub will depend on good setup. I have had two JL F112 for 14 years. Between them, they have been back to JL four times for repairs (not four times each). The last time, to JL’s credit, they looked at the history and did the repair for free. The F112s sound great in my system. They should -- I’ve spent hours positioning them and fine-tuning the DSP crossovers and PEQ (in my Anthem stereo preamp) I use to get the bass flat at the listening position.
Regarding PEQ in a sub: It can help, but it works only up to the crossover frequency, of course. The Schroeder frequency typically is one or two octaves above that, and room effects can be important for an octave more. So sub PEQ is a partial solution.
I agree with the comment by @james633 --
Sub integration is far more important then the sub itself. I would use the “saved” money for a highpass crossover. It will do more for you than any sub or system upgrade. The JL C-R1 is a good option and Bryston 10b-sub is another.
Good luck!