It will depend a lot on how the network transformers are distributed across the substation transformers and their relative sizes and impedances. How well the load on the buses and feeders are balanced will make a difference too. It doesn't take much voltage magnitude or angle difference to make things go awry. At the last place I worked none of the buses were connected on the 12kV side - a decision made decades ago to limit available short circuit current. Conditions that could actually occur varied based on the substation in question but we had only one set of standards for new construction to keep things simple. The possibility of circulating current on 3+ network transformer sites severely limited the capacity of our installations: 2x 2MVA for a 3000A service, 3x 2MVA for a 5000A service, 4x 2MVA for a 7000A service and 5x 2MVA for a 8000A service (all 480V). Doesn't look to bad but in reality the planners that put that standard together assumed (incorrectly) the NEC would prohibit our customers from loading those services to more than 80% of their rating. Also, our 2MVA transformer ratings were based on a 55C rise, for n-1 conditions they utilized the 65C rating. If your network protectors have not been set to operate in this type of environment, you will likely end up with some of them being stuck open indefinitely, which could also cause overloading problems. You could also experience pumping in the network protectors.