With such a technology gap you may or could have some problems, and you say it doesn't do that on other players ...
You do know that player is a basic one, it's not like the sony high end stuff with more advanced dac's etc ... and the recording technology used, DDA DAA etc ...
Anyways I have given you some ideas, and the service manual will help on some cases, they are free to download
Without being rude, it may be a time to let it rest ?? A laser pickup is around 40-50$ and you have to do some alignment too ....
Good luck
I still have this one from 1980 era :
https://www.cassettedeck.org/sony/tc-k81And this one is unkillable ... with life time heads, still work a threat today, only costed me a pinch roller kit and belts, i have a tape collection of jean michel jarre on them, and the noise floor is really low, incredible sound with well preserved / stored chrome tapes, but like everything there is some limits
I even have the same albums on cd's, and i hear the sound difference ...