Code compliance aside, I've seen new equipment installed in a facility with a corner grounded delta. We did an upgrade at a plant that had a corner grounded delta service. We didn't add a transfer switch however; but there were existing generators and transfer switches present that were much newer than the existing electrical service.
The VFD's and motors we had installed didn't seem to mind.
I recall the EE missed it, I didn't realize it (or even knew such an animal ever existed) until I was looking at the startup reports and saw the odd voltages between, I guess it was L-G...don't recall exactly. Fortunately for us, nothing we had installed was looking for 1-phase 277. There may have been some drive parameters that had to be set, but there again I don't recall specifically. I do recall there were several that weren't right at startup.
Mike