It mighty work, but generally this is not the case or you might get some distortion or at worst it damages the unit.
It only works without a ground without any problem, in then current Flow on both, positive and negative to ground is the same.
If not, then the voltages will differ ( so that both currents are the same, moving the virtual grounded) and you might get some or more distortion or if voltages exceed the limit the opamps max get damaged.
The absolute currents are not so much important, but the relation of the two currents is.
In simpler devices the currents are often very similar, so you might not find any difference to a grounded dual power supply.
I just thought I might explan what happens and why it max work or not.