Adding that to the fact that the three cores have a shared common bus, and there are gone to be some kind of signalling about who is using it (that we don't know), this could be reasonable.
The Xbox 360 CPUs works at 3.2 GHz, that's 0.3125 ns per cycle, and four cycles make those 1.25 ns. I won't be surprised if those who made the CPU designed to have 4 cycles of delay to cores 1 and 2 to be sure there isn't any kind of glitch reading the data from the port.