Personally I have never had a problem with an industrial ungrounded system as long as a ground fault alarm is used, there are many who have fears with them and think they are so dangerous, but if you think about it, since you don't have a first fault, arc flash is eliminated for the first fault to ground, as well as unexpected down time, and as long as you have a good ground fault alarm installed it gives you time to do an orderly shut down, to find the fault to make the repair, but you are correct that after a first fault you will have a higher voltage to ground, or even without a ground fault because of system capcitance coupling or inductance
Besides it can add cost to the installation for the ground alarm/monitor, and some equipment can not be on an ungrounded system many VFD's drives are not setup to run on an ungrounded system
One problem I have found (this doesn't apply to the OP) is there are a few who don't understand that you can not ground the X0 at service transformer and use the system as an ungrounded system even if the utility has only brought 3 conductors from the transformer to the service because once the secondary has been referenced to Earth even remotely you must provide a low impedance path all the way from the transformer to the service disconnect, as we have seen post on here and I have experienced also, some line men don't understand this and have replaced their delta transformer with a WYE and bonded the X0 at the pole or pad mount but still only had three wires to the service disconnect one case the lineman up sized a delta tree that was ungrounded then corner grounded it but did not re-bond the C phase at the meter leaving a 480 volts to earth reference that could have cause someone to get killed, luckily we got called when some 277 volt line to ground filters and MOV's let it's magic smoke out.
On a WYE without the low impedance fault path if a fault did happen all the grounding as well as anything connected to it would be at a 277 volt potential to remote Earth posing a very dangerous shock hazard to anyone making contact between Earth and the grounding system or anything connected to it, this would not be the case in the OP's SDS since his transformers X0 would not be referenced to earth if he did not ground it so he has the option of which way to go.