Cleaner perhaps, but wrong. If you know that latency is statistically symmetrical (same in both directions, on average) then you can synchronize clocks to arbitrary precision (asymptotically at least).

> If you know that latency is statistically symmetrical (same in both directions, on average)

My understanding of relativity is that this is principally unknowable and we only assume that speed of light is same in every direction by convention (every few years there’s a paper that claims they managed to measure one way sol but later it turns out they actually measured two-way in a roundabout way) so you can’t really know that?