I was designing an upgrade to the service at a local boat building plant (probably about 15 years back). Existing service was 120/240 3 phase closed delta (three phase primary with three transformers). The plant manager asked if we could shift over to 120/208. I told him probably not but I would call a few equipment mfgs and see what they had to say. Some said no problem, some said no, Ingersoll Rand (100 HP air compressors) said not only no but He** no. Only your equipment supplier can answer your question with any confidence.
We just upgraded the original delta service and it operated fine until they closed during the financial crisis. Utility was Gulf Power (Southern Co.). Don't think they would install a new closed delta system today, but I suspect they still use the open delta for the specific case I mentioned (one/ two 3 phase HVAC systems and the rest single phase).
L F Walker PER (professional engineer retired)