Although some of the reported observations seem inconsistent with the possibility of a polarity reversal in one channel (which could conceivably result from a miswire in the new turntable, or even a miswire within the cartridge itself), to be certain that isn’t causing the problem I would suggest that you try reversing the + and - connections to one (and only one) speaker, at either the speaker end or the amp end of the cable (but not both).
As you may be aware, a polarity reversal on one channel can have strange effects on image position and focus when both channels are playing, but would not affect sonics significantly when only one channel is playing.
Regards,
-- Al