Lol no. A subwoofer is supposed to do subbass - which is generally defined as 60Hz and below. Under that what "conventional" speakers can usually do, by a somewhat outdated definition.
Many modern speakers, even larger bookshelf models, can do 50-40Hz sufficiently. It's still "subbass" that a subwoofer can usually do better.
A typical "full range" speaker will go down to somewhere between 20Hz and 30Hz (few will go down to 20Hz)
They won't (for the most part) do it at the SPL's a true sub does.
You sort of made my point when you stated : "Many modern speakers, even larger bookshelf models" - well there inherent within your comment are the current assumptions.... a Bookshelf speaker is unlikely to ever be full range, and they aren't meant to be, in today's market, they are satellite speakers, and require an external woofer to fill out the bass properly.
A floor standing (full range) speaker that does 50-40Hz sufficiently, is a floor stander that has limited bass.
My Gallo Ref 3.2's are spec'd to do 24Hz (although by the time they get down to 24Hz they are down quite a bit in SPL.... a more realistic range with full SPL is 35Hz... which is what Dirac tends to show as their "lower limit")
Yes today's market is dominated by bookshelves - which universally need a "sub" (more properly, an external woofer) to provide the full audible range.
And most of todays "subs" are designed to cater to that market, and provide the missing bass from circa 80Hz down to circa 20Hz - most of them don't even go down to 20Hz!! eg: (first sub that popped up on a google search) Jamo C910 - 32Hz to 125Hz... it covers mid bass to lower bass... but sub? (or Definitive Technology DN8 - 35Hz to 200Hz)
So yeah you pair them with bookshelves, and the result is a full range audio system in the traditional meaning of "full range"
If you want the subsonic spectacular, you need to get a "true" sub.... something that is likely to be frequency limited to sub 40Hz and extending down to circa 15Hz.... and which would be pretty useless with your bookshelves, as its performance in the audible lower bass range is likely to be sub par...(higher distortion is very very common... the levels of distortion considered acceptable in subs are really quite remarkable! - but then the ear is less sensitive to bass distortion.... on the other hand the harmonics are well up in the midrange - so will be muddying things... )