If you want to talk T/S lingo, then I'm gunna throw a dirty big spanner in your works matt!
When It comes to mids, tweets, "full range" speakers, then I let my ears do the picking. As you'd expect. To hell with the specs with these speakers. I listen, then look at size for fitment, cosmetics, brand and then finally price.
But your obviously want to talk T/S.. My experience is that T/S specs are mostly ball park. No speaker that I am aware of comes with a "birth certificate" that states this particular speakers T/S specs. You can read a brochure of an amp that says that it will do "100 watts x 2 at etc specs". But if the amp comes with a birth certificate that states that your particular example actually does "112 watts x 2 at etc specs".
The same can be said about speakers. One example of speaker may come with an example of fs 63 hertz and a Q of say 0.711 yet the manufacturers spec sheet may say fs = 59 hertz and q = 0.700.
So you can want a speaker with a certain characteristic T/S wise, but the speaker that you actually buy will not be that exact spec. So it is a ball park to narrow down your choices but at the end of the day, it will come down to your own listening choices as you pointed out.
So you buy the speaker, make a box to suit the brochure speakers individuals T/S specs, then plug another speaker into the box, and expect it to be the correct size for your speaker.
My take is that I use the T/S specs as a ball park. If box builder program says 1.25 cubic feet, then I build a "trail box" at 1.4 cubic feet, chuck the speaker into it into the car and then listen. Then using scrap wood size the internal box volume down at 0.05 feet and keep listening untill you find the best sound.
An example is my wife's car 12 inch subby. reccommended size was a foot. I made a box at 1.2 feet, found that it sounded best at 0.9 feet and then made a proper box to suit the back of her car (shaped box) at 0.9 cubic feet.
Another example is an american sound off champion's set up (not RC) who had a motorized variable box volume set up. At the touch of a dash control, he could vary the size of the box enclosure and change the sound of the sub on the fly. Like I said, champion. trailer of trophies.
Some people like to muck around with box builder version this and that to tell them what should sound best. I let my ears and circular saw tell me.
But that's just an old fuddy duddy like me's opinion.

having said all of that, I generally prefer to look for sub woofers with the T/S specs to suit free air (high qms typically) or sealed box which ideally should be around the "ideal" Q of 0.707 (not sure exact number, correct me if wrong)
FS, generally depends on the car it's going into. Low for a large solid car, 30 hertz or so, and 40 or there abouts for a smaller flimsy car, like the wife's mazda. This is basically due to mechanic rattle. Soeakers with a low Fs are generally very strong in the sub lows and you will have a lot more trouble with rattle prevention in such a car as opposed to a larger more solid made car. But again, it's a generalization. There is no real indication that the subs Fs will not change when boxxed unless you are punching the figures into a box builder program and seeing what the final Fs would be in the finished system.
Xmax? generally, That isn't really an issue as most subs designed for sealed and IB are low, only subs for ported designs generally have a high xmax, I would have thought. In general I don't really consider it.
I also look at the sub's sensitivity as that will tell me what I should be driving the sub with.
Another problem when trying to consider T/S specs is their availability. Some manufacturers, pioneer for one tend to hide or simplify their specs, giving you the sum of the Q specs rather than individually. Memory is hazy here, T is the sum of E & M?
But I guess if I am considering a speaker based on T/S specs, I shouldn't be considering pioneer then should I?