Ok, so I know this is a year old, but I felt I could contribute a little since I have speakers that are like the OP describes.
First, I don't quite agree with DaddyJT about phase. It's easy to check phase, and it makes a difference, so when you hook up a sub, you should routinely make sure phase is correct. One of the easiest ways, if the input of your sub allows, is just connect a 9V battery to the terminals and watch the driver to see if it moves in or out. Do the same with your main speakers, and just make sure both move either in or out the same. I don't believe a whole heck of a lot about absolute phase, but you can make sure that is correct also. Meaning connect the + terminal of the battery to the + terminal of the speaker and make sure the speaker moves out, not in.
The designer of my speakers, Brian Cheney, thought it was very important. But then again, this guy could tune his own crossovers by ear. As far as his ears go, he was a savant.
I sort of think of Brian Cheney as the Bob Carver of speakers. Much maligned for his views, but always proved the other "golden ears" wrong. His VMPS line of speakers won Best High End audio at the CES about 3-4 times. That should tell you something. Brian and Bob are my audiophile gurus.
So, regarding speakers with multiple bass drivers...it is possible, but expensive and difficult, to design a speaker system have what you want in bass. What you want, which is sort of the holy grail, is:
A very low cutoff (think -3dB down at 20Hz)
Able to play that low at a loud enough level (think at least 105dB at 20Hz)
Able to play that loud at a low distortion level (think less than 0.5% at 1watt at 1 meter)
High efficiency (think above 93dB/1watt @ 1 meter)
Now, getting some of these things in a single speaker is easy, getting them all is very difficult. Just because you have multiple bass drivers does not mean you can get all these things. So, it's hard to give an answer to your question because it depends what speakers you have.
VMPS used to make floor standing speakers that satisfied all these requirements, but they have been out of production since 2012 when Brian Cheney passed away. You can still get them on the used market though...usually for pretty good deals.
Interestingly, allflehisequalwhenburnt above has the biggest VMPS speakers, as well as the second biggest, as well as several subwoofers as he stated. All powered by Carver amps and my guess is he has probably at least 3000watts RMS. I think he's finally satisfied! LOL.
I heard his system the other day and it's probably one of the cleanest systems I've heard, yet the bass is phenomenal.
But, I think the average guy doesn't need that much...lol. But Ray loves it and it sounds great.
If you have no compromise speakers like this, I don't feel you need a subwoofer. But, everybody has different tastes as well. If you like to play your music loud, you have to have lots of bass drivers if you want extended and low distortion bass.
Here's a picture of Ray's Super Tower II and my Super Towers. The main improvement since we bought them is mids and highs are now reproduced by ribbon drivers. The cost of these speakers was reasonable as well. Brian Cheney also made that a requirement of his stuff. But...as the years went on, he improved his speakers and made absolutely beautiful cabinets and the cost went up...way up. Most people don't realize this, but nice beautiful cabinets usually cost more than the drivers to make.
When you look at these you'll think...OMG how can that many drivers sound good? Well, remember, it's gotta be done right. He won best in show at the CES quite a few times, and was very favorable reviewed in all the magazines, even the esoteric ones, back in the day. Without bribes of free equipment...lol
Here' s some VMPS paperwork for the "smaller" of the two
https://www.dropbox.com/sh/ixvf72l261w5wwd/AACFEDE3y4G7P2_dIU4rhlf4a?preview=VMPS_Super_Tower_R_Brochure_B%26W.pdf
Here's all their old brochures before the cost went up secondary to the ribbon drivers and cabinets
https://www.audiocircle.com/index.php?topic=113199.0
And here are some pics of the smaller Super Tower and Brian standing next to the Super Tower II's. (I think it's Brian)