I think all he meant was you will not be connecting the neutral of this 60 volt system to the terminal otherwise intended for a conventional neutral. Instead you will have one ungrounded conductor on that terminal and the other ungrounded conductor on the traditional "hot" terminal. Both will operate at 60 volts to the EGC, both will have overcurrent protection somewhere ahead of the device. The load still sees 120 volts and don't care that it is only 60 volts to ground.
One reason for the wide prong plugs on equipment is to insure that a particular part of the wiring/controls/etc. is operating not far from ground. Is the reduction from 120 volts to 60 volts good enough to maintain the UL listing of equipment that is required to have a polarized plug and cord set? (Think of Edison base light bulb sockets.) Or should you just be careful not plug such equipment into a balanced receptacle?
My impression is that a balanced distribution system is used for specific types of loads or environments, and just plugging random conventional loads into that system would not be a good idea anyway?
And then, just to muddy the waters further, there is the separate topic of older RV inverters and some current MSW inverters which produce "balanced" power just to reduce the cost of the electronics.
Attach them to a wiring system with a ground-to-"neutral" bond, and the magic smoke comes pouring out.