The early work (which often gets quoted or misquoted, without understanding the context) on "missing fundamentals", where the ear/brain system "fills in" the missing fundamental were done for early communications - telephones and things like radios for the military. There, the point was not whether or not it sounded the same, but....does the message get through, and can you tell if it's the person you know who's telling you that. Most human voices have their lowest formants in the 100 to 150 Hz range (mine is 72 Hz, but I digress), and the telephones and radios they were making (the mics were part of the equation) ended up being designed around 300 to 3 kHz. Those "lost formants" aren't vital to the message getting through (most of the information in speech is in the consonants, which don't need 100Hz bandwidth), and there is enough upper formant information left above 300Hz that your ear/brain system can still tell who is talking to you. But, if you want to have a natural conversation (not a 2 minute message, but a real teleconference where the folks on the other end of the link feel like they're in the room with you, you need those formants - yes, I have worked on systems that do high quality conferencing and 300 Hz isn't good enough for that. Your ear "filling things in" isn't the same as those things actually being there.
The same principle applies to good concert sound, but the numbers are different. The line arrays used in concerts are usually good to around 60Hz - if 50 Hz was good enough, people would design the line arrays for 50Hz, and noone would carry subs - subs are heavy, they take up a lot of truck space, they use a lot of power, and you need a bigger crew to move them on and off the truck. Subs don't define what note your are playing, but in a well setup PA, they add a LOT of impact that you just don't get from a system designed to 60 or 50 Hz. 25 Hz is a bit outside the bandwidth of most subs, but 30 Hz is not. A 4 or 5 string bass (40 Hz ish) sounds very different if you lop off the fundamental - yes, you can easily tell if it's there or not - people spend tons of money when putting on concerts because of that truth.
One other way of thinking about this: A 5 string bass guitar goes down to B. A standard piano goes down to A - it goes lower. They are both stringed instruments - they have the same series of overtones. Can you hear the difference? Can you tell which instrument is which? Yes, and a large part of that is that, for the lowest notes on a piano, while you can tell the note that's being played, the instrument doesn't radiate the fundamentals well. Yu our ear is dong the "filling in thing", but it isn't at all the same experience as the bass guitar. The bass, while it doesn't go as low, has... more bass - more fundamental.