One thing I found peculiar, and which doesn’t entirely jibe with your argument that physics comes into play where competing DHCP servers are concerned, is that all of the Windows machines got useless addresses from the hotspot application, and all of our Linux machines got useful addresses from the ‘good’ DHCPD. This in spite of the fact that latency to the ‘bad’ DHCPD was noticeably and consistently higher than to the ‘good’ one.
I suspect that the truth is somewhere in the middle. For a given dhcp client implementation, results are probably consistent, but distance doesn’t always seem to be the definitive factor.
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