And even with those equalization and compression algo's applied to your output, you also still have to account for the way soundwaves interact with a room.
I will say, that what you ask for is physically impossible:
Crisp tight bass that you can feel, but at a lower volume level.
Feeling bass is an effect of SPL. I can turn down content where I know there to be strong infrasonic program, and nothing will happen. Why? There is not enough air being moved. I can turn that same content up and cause the walls around me to rattle as if a spaceship were landing on top of my house.
Same program, different SPL. Do you think my Subs aren't capable?
Moreover, as we are much less sensitive to hearing frequencies as they drop, you need to boost them higher still to experience them.
If you think I might be describing a Catch-22 to you, well... ya.
Shop for the Sub that is right for your room. Period. No Sub will have magically better low-SPL output than what it is capable of at max SPL before it reaches it's limits and distorts.
Oh... and please for the love of all that's holy in sound reproduction, can we pretty please drop the "crisp" and "tight" adjectives? These are words reviewers and marketeers toss around. No well respected company builds Subs these days that don't perform at very high levels... and if they did, they wouldn't sell!
