Your observations puzzled me a lot. I tried to model different cases with help of my test PCB and found, that noticeable loses in the bass part for opamps could be the result of some disbalanses in the opamps halves, which in turn can be the result of different voltages of each half of power supply or some external DC on inputs. The more the power voltages - the more the impact of the disbalances. So (I think) your Bugle even at 9V doesn't show all its ability.
I don't know where you can pick the DC from a cartridge (but you always can try to use a capacitor on the input - just to check), so I think it is some problem with batteries connection or batteries themselfes.