So.. much.. misinformation.
If you want to know how stiff something is, look at CMS. But this along with other factors such as mms will give you FS. Yes, theyre related, but dont base your decisions off that directly.
And as a side note, there are times where you want an FS higher than that of your low end goal.
Response, sound of a woofer, etc etc are really all determined by the enclosure and environment. Though the enclosure is partly decided by the woofer, it should be ultimately decided by the listening objective - as should the woofer. You wouldnt (shouldnt..) buy a super strong sub THEN decide you want an SQ oriented sound stage. Everything should be properly planned ahead when done correctly.
Though, little does this happen. 99% of people in car audio buy a sub because it looks cool, they like the brand, or it has a big motor d00d and want to use it in some enclosure it isnt fit for. Example, bandpass. Though it isnt their fault, they are none the wiser of proper planning in a system.
There is no real answer to your question, OP. It is so vague that anyone pretending to have the answer would be a liar. What really is your idea of "accurate" and "transient"? If I had to take a shot, Id say you want some low powered subs with low distortion (shorting ring/xbl/etc) a well designed enclosure, good midbass and some time alignment amongst others. Even then, you probably wouldnt like the sound, though the lack of distortion and all the fun stuff would give you a good soundstage.
Our perception of bass isnt just the lower notes. Kick drum accuracy and the like isnt going to be perfected by a substage only.
And yadda yadda..