Can you make the "network is homogeneous" assumption given that all servers are at the same datacenter? It seems to me that more or less is true if you make the latency resolution at millisecond level.
If A, B, C, and D are all on gigabit on the same switch, if A and B are using their full gigabit to talk to each other, C could get significantly different bandwidths if it tries to talk to A vs. D. Is that homogeneous? Depends on how you define it but "no" is probably the more useful answer.
(There's a couple of other possible outcomes, like the switch prioritizes C, but then the A<->B link sees variable bandwidth over time, another type of inhomogeneity. One way or another something is going to give.)
