Stats, ribbon, planar, cone, sat/sub all have design sound, meaning characteristics specific to design. If you want all the sound, sub-bass is used in a lot of music today for electronic/electric material. Natural instruments don't live in that realm but can.
When I went looking for main channel speakers, I thought I could live with imaging, hyper-detail and sacrifice bass extension. Natural instrument wise, the non-cone technologies are impressive. But toss in prog. rock and there is a lot of sub-bass underpinnings. A well integrated sub is tricky with non-cone technologies. A smaller driver sub will be easier to match than one big driver. Three 8" vs one 18". The big driver subs are better suited for HT.
The better sounding integration of bass is cone. In this arena, there are so many sounds that you do have to do a quick spin to identify what house sound fits your tastes and environment. If your room acoustics suck, maybe single driver speakers in near field position would sound better. If you have the space, a non-cone will give you more spatial presentation. If the room is big, the full range speaker would fill the room with sound.
Cone wise, there are a lot of choices. I've liked Dunlevy, Wilson, Mirage, Dynaudio, Thiel, Snell, Dalquist, Paradigm, Harbeth, Omega, Sonab, to mention a few. Today there are hundreds of speaker makers. Hell, the older Pioneer multi driver monsters sound great on a SX-1250.
Good luck in your search.