Would it make any sense at all for a government agency (DOGE) to buy shady residential proxies in order to log in to their super-admin accounts? No. Nearly every government bans foreign IP addresses from accessing internal systems. That leaves the question: why did that log-in attempt happen? There may be another explanation, but the only thing that comes to mind is that someone in Russia using a mobile internet connection tried to log in but forgot to enable his VPN before doing so.
I don't see a legitimate reason to require no logging either. If you're investigating things, you want your activities logged in a way you can't alter because it demonstrates how you found the evidence, and that you aren't just making things up.
I also don't understand why the HN comment section is full of people trying to make excuses or explanations.