(sigh) This is why I prefaced my message as I did, and why I hesitated to say anything at all. I'm well aware that "large-diaphragm microphones have more/better bass response" is a belief that people will strive to maintain no matter what anyone else says--and I mean "maintain" as a very definite activity of the mind.
Of course there are particular microphone comparisons that could lead a person to that conclusion. But in order to judge whether a set of examples can "prove" a rule or not (and exactly what they prove if so) you have to choose your theory first. As a result, almost every experience can seem to confirm the theory or belief that one already has. In this case the belief is maintained despite many, many such exceptions, yet many people cannot even imagine how it could possibly NOT be true. Lower frequencies = longer sound wavelengths, ergo bigger must be better at capturing low frequencies.
I had to finish writing my earlier message in a hurry, despite its excessive length. As soon as I shut off my computer, I thought of a convincing metaphor that I could have used. Try this on, please: Imagine a cove at the seacoast. The tide is coming in, so the overall level of the water is rising gradually, almost unnoticeably. At the same time, gentle, regular waves are rolling in. Finally, imagine a group of little ducklings floating in the water; they bob up and down in the waves, and their average level rises (too slowly to notice as such) with the incoming tide.
If you can imagine that scenario, and if it makes sense to you that the ducklings would remain floating on the surface of the water, then that's really all it takes. Thank you! Because if you believe that only large objects can respond to large waves, then logically you must expect the ducklings to keep a roughly constant altitude (relative to the floor of the cove) despite the waves and the tide, because they are so small. You would have to imagine them being submerged by each incoming wave, and probably drowning as the tide comes in. If that absurd (and tragic) outcome seems logical to you, then by all means please go on believing as you do about large diaphragms and low-frequency response, because that's the exact analog.
On the other hand if you're the Greek god Poseidon and it's your job to generate huge waves, you'll need substantial power, and for that function it helps greatly to have a big surface area with which to push and pull. But once the wave exists even a tiny object can respond to it perfectly well. With the small mass that the ducklings (or your eardrums, or the diaphragms of microphones) have, they don't need to absorb the entire energy of the wave in order to be moved.
--best regards