Great answer by Jim, as usual! Regarding ...
Does not having an earth ground to my panel all these years cause a negative effect on the various audio systems I've had? Does this affect things like bass weight, or solidity of the image etc?
From a technical standpoint I can't envision any way in which an absent or ineffective earth ground could affect sonics in those or most other ways. And I'll add that I too have an older home (1950's in my case), and until I had the electrical panel replaced and a couple of ground rods installed several years ago I too had the panel grounded only via a water pipe. During the approximately 30 years I was in that home prior to the electrical upgrade, those years encompassing several upgrades of my speakers and various other parts of the system, I never sensed any lack of bass weight. Or of imaging and dimensionality, at least once I had moved to tube amplification many years ago.
Best regards,
-- Al