The Heat sink tab on the device - the one that bolts it to the side of the radio, can get compromised by age and dirt, which - since the chassis is insulated from the case, it is NOT insulated from coax ground so it is possible that the heat sink tab and it's spacer to keep the tab from shorting to ground at any point - may have started to fail.
Just unsolder the chip from the board and slide it off and clean the heat sink goo and redo with with same white goo it had only fresh stuff (don't use grey) - the same type as if it was for CPU heat sink goo - white grease and reinstall it.
Another spot to look for in your radio is by the rear panel - if the board has been "strapped" for any reason - the white noise shows up because of a ground formed by that strap and the birdies formed from the IF sections.
Another one that I see a lot is from limiters that get clipped...
IF you have had mods done to the radio - anything that
can affect how the limiter works can affect how well the RX works.
Now, I'm not saying you have done something wrong - but you are having "white noise" issues when the volume control is down all the way, and the noise then disappears when the volume goes up - something else is affecting the signal line by how it appears to the input of the audio amp.
You may be swamping out a noise by the volume pot moving pushing more signal into the audio amps' input line - so it masks the noise over with itself.
The way volume controls work is they apply signal Across to ground and split it off the rheostat (variable substrate) from the pot - so the load the signal sees is constant, but the other side is what retrieves anything and everything from that substrate. Even if the substrate is intact, the noise can come from another source you didn't expect - further downstream. towards the audio chip - or from an open lead on the potentiometer - most of the time a simple re-assemble is all that is needed to clear that up - but if that doesn't work... time to dig deeper.
You may want to locate your recapping work, there is one that arrives to the audio amp "buffer" a circuit used to amplify the signal. The cap keeps DC separated - so the low-noise level the Audio amp is, is not overriding the signals ambient noise level - you have extra noise coming in - so revisit the recapping work you did and you may need to review your volume control and it's mounting so you can verify those wires are properly routed.
To keep this short, if you have a radio with any mods that disables limiter, so even though the limiter is in there - that line that powers the limiter is also powered by both the TX and RX lines using diodes to steer power to keep the transistor on when in RX so you don't hear the alternator whine or a fluorescent lamp ballast buzzing away in your audio you're trying to find someone while you listen in.