Does this high frequency shift mainly on loud levels? If so it is entirely possible that your cartridge or the combo of it and the arm is causing a mistracking which causes, for some ellusive reason I can't comprehend, some uneven and excessive highs in one channel OR a reduction in the highs in the other channel which might well cause the same effect. I think getting a test disc (at what ever cost - so long as it is of value) is a far better idea than just getting higher quality TT's, arms, and cartridges, even though I suspect that maybe where you end up.
Forgive me for being redundant, but have you ruled out speakers and speaker placement as being an issue by at least reversing cables at the phono so the distortions which now appear on the right channel will appear in the left channel if the problem is associated with your TT set up?
Forgive me for being redundant, but have you ruled out speakers and speaker placement as being an issue by at least reversing cables at the phono so the distortions which now appear on the right channel will appear in the left channel if the problem is associated with your TT set up?