"Musical" subwoofers? Advice please on comparing JL subs


I'm ready to be taught and I'm ready to be schooled. I've never owned a subwoofer and I'm not so hot with the physics of acoustics. I've had my eye on two 10" JL Audio subwoofers, the e110 ($1600) and the f110v2 ($3500). I hope this is a simple question: will the f110v2 be more "musical" than the e110?

Perhaps unnecessary details: I'm leaning into small bookshelf speakers, mini monitors with limited bass, for near-field listening in a small room. I don't want to rock the casbah and rattle the windows; I want to enhance the frequency range from roughly 28hZ to perhaps 90 or 100hZ: the lower notes of the piano, cello, bassoon, double bass, etc. I think I'm asking: will one of those subwoofers produce a more "musical" timbre in that range? Is spending the extra $2000 worth it in terms of acoustic warmth and pleasure? More generally, are some subs more musical than others? Or is that range just too low for the human ear to discern critically? 

I know there are a lot of variables and perhaps my question can't be answered in isolation. If it helps, let's put to the side topics such as room treatments, DSP and DARO, debates about multiple subs, debates about using subwoofers at all, and the difficulties of integration. Let's assume a fast main speaker with limited bass. I'm not going to put a 12" sub in the room. While I'm not going to put four subs in the small room, I would strongly consider putting in two, and it would of course be much more economical to put in two e110s. This, though, would only lead to the same question now doubled: would two f110v2 subs sound more musical than two e110s? Also, I'm sure there are other fine subs out there but I'm not looking for recommendations; if it helps to extrapolate, consider the REL S/510 and T/5i. 

I realize that I may be wildly off with all this, and I know that the best way to find out is to try them out. I'm not at that point yet. I'm simply curious about the "musicality" of different subwoofers. 
northman
Thanks, all. Duke, you are a true gentleman and a source of terrific information out here. 
In my opinion the e110 has the potential to be more musical because of its true 2 way crossover capabilities, but would probably be more difficult to set-up which may negate that potential.

Are you using separates or an integrated amp?
@audiorusty, thanks. I have separates. I plan on using a CR1 outboard crossover, primarily for the high-pass crossover; it should help with integration (and, I hope, free up the mains) but I doubt it's going to take the place of DARO or other integration methods. 
The most advanced by a long shot and Best Buy 
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I owned several Rel ,JL audio none in the $1500 each range can  touch it ,and because of the Dual voice coil ,even at lower volume defined bass, honest bsss to 18 HZ.