Without a corner ground:
Your first fault grounds any of the corners. That rotates your voltages. So, 480V between the phases BUT one phase will measure 0V to ground. Everything will still work as intended.
Your second fault, if not on the same phase, will result in two lines to ground and that will blow everything up. More or less. This is why grounding lights are important for ungrounded services. 250.21(B)
I would say that a SSBJ is required on this install but that conductor, sized by 250.102, would terminate, or land on the duct if they wanted. Its goal is to carry fault current on the line side of an overcurrent device. 250.30(B)(3) and 250.30(C) for outdoor source would point you back to that. The duct would need to be rated for fault current, which I believe they all are.
So if we go from, 250.30(C), to 250.30(B), to 250.30(A)(2), to 250.30(A)(2) exception that points to 250.30(A)(1) exception 2, that says
"If a building or structure is supplied by a feeder from an outdoor separately derived system, a system bonding jumper at both the source and the first disconnecting means shall be permitted if doing so does not establish a parallel path for the grounded conductor. If a grounded conductor is used in this manner, it shall not be smaller than the size specified for the system bonding jumper but shall not be required to be larger than the ungrounded conductor(s). For the purposes of this exception, connection through the earth shall not be considered as providing a parallel path."
But you won't have a system bonding jumper as defined in the NEC. You will however have a SSBJ used to bond all metal parts likely to be energized on the line side of the OCPD.