Hi Ved, An "observation", or whatever you call it when I hear something and make an opinion. (Audiovation???).
I hear the same "pulsations" from the following, but of varying degrees:
1: An old fridge compressor, where the air intake is inside the closed chamber of the compressor, with only "leakage" (very narrow long slot) being the way for air-in and sound-out: Very quiet, hardly different to your motor.. When I lift the lid it becomes moderately loud.
2: Another old fridge compressor. Air intake is a small pipe with a tin on the end, with a bit of porous foam in it - about as loud as your compressor inlet noise.
3: My 2CFM compressor: rated at 90dBa! NO intake silencing on it - You cannot hear the motor for the intake air pulsations... (It has a reed valve built into the piston crown, and open port - just an air-cleaner - on the crankcase.
4: My 500cc motorbike. The intake noise appears to be "half-way" (?) between the Exhaust noise and the engine noise. Exhaust will be ~85dBA?, total engine ~75dbA? So maybe air intake is ~82dBA?
If you fit Helmholtz resonators (it is a constant known frequency of pulsation - easy to design and tune) you should easily reduce the intake noise by more than 3dBA, making the major noise the mechanical noise?
Most of the intake noise comes from the timing of intake valve opening, so if you are using reed valves, try a lighter spring? then the valve will open at less air pressure Difference and make less noise?