Yes. That is the old "Wild Leg" circuit of years past. The neutral should be grounded.
If your customer wants to run ungrounded, you should use a good ground detector system.
Alternately use a high impedance ground.
100 years ago, motor and transformer windings were insulated by being wound with cotton threads.
There was "Single Cotton Covered", SCC and "Double Cotton Covered", DCC.
Transformer burnouts were frequent, and an ungrounded delta system allowed a plant to run on open delta at reduced capacity in the event of a transformer failure.
50 Years ago, enamel insulations were in use for windings and burnouts were relatively rare.
As well, many three phase transformers were in use.
If any one winding in a three phase transformer or generator burned out, it acted as a short circuit on the other phases and so was not suitable to use in open delta.
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Ohm's law
Not just a good idea;
It's the LAW!