As you edited your question it gives me more room. The same as a parabolic mic, any mirror lens do the exact same thing. It takes parallel rays coming from a distance, and focus them on a smaller spot... the focus point.
Ever heard about the Hubble telescope? A mirror lens collects light.
The James Web telescope I am mentioning this specific telescope because it uses an array of mirrors... to collect more light, but the overall shape is a section of a parabolic mirror. The array is not meant as an additional attachment, but it is planned as such from the start because this light must be focused at the exact same spot.
But an optical lens also collects light. The bigger the better, that is why a big aperture collects more light than a smaller one.
A slow shutter speed gives the sensor more time to collect light.
I understand your analogy to a parabolic mic. But there are some differences.
Yes, you can have parabolic reflection stuff... a wall, a fruit plate, or a dedicated plastic parabolic attachment... and one microphone. This microphone can actually work independently of the parabolic attachment, to pick closer sounds.
The pure sensor is the equivalent of the mic membrane. But a difference is that it needs a focused beam to actually work.
This attachment will not work just because...
We actually construct parabolic lenses equivalent on a parabolic "mic" (again, the parabole is a different attachment than the actual mic)
Any big telescope is a mirror telescope, but you do not put the camera in front of the reflector, but you put an additional mirror to put the camera behind.
On a smaller scale, any mirror lens, normally telephoto ones, are the exact same principle... collecting light... the bigger the better, but the bigger the bulkier, so you limit the size to a managable one...
But also the normal lenses. But they do this by refracting light instead of reflecting it. The bigger the lens the more light it can collect.
The purpose of ANY lens is to collect more light... more light than what? you may ask...
The simpler camera without any lens is a pinhole camera... but the area that receives light must be really tiny to produce any decent image.
So here is a side by side comparison of a device made to collect more light... The first one is out of scale...
Any lens is a device made to collect more light... than a smaller one.
I also mentioned the shutter speed.
On a static object, with a fixed positioned camera (tripod) you can collect more light giving the photo more time... But that does not work with sound waves, because the sound is totally dependant on time. The sound is a vibration and its frequency is vibrations per second. The resulting file or recording must be reproduced across time (duration of the recording)
But photography compresses time... you can collect photons across 22 days, to produce a single photo.