I use Galaxy but am in Australia and we have the dodgiest internet on the planet. Ours drops out regularly for moderately lengthy periods.
I can fire up galaxy and run any game I own, including Cyberpunk, when our connection is down without any problems.
And it keeps running just fine when my internet drops out after I've started playing.
The only potential dodginess you should be mindful of is the popular Cyber Engine Tweaks mod. At one point the author incorporated code which entirely needlessly pinged the author's server.
Nexus admins immediately banned the mod on their site.
The author tried to argue that they were just curious about how many users there were and tried to strongarm the Nexus admins into allowing them to leave the code in and said that people could still download it elsewhere, but the admins held their ground and he caved.
The mod is currently safe, but having done that once you have to wonder about the author's intentions. If you do use that mod I would advise against automatic updates in case they add that or something else dodgy. If you update manually and wait a while before updating, that gives admins and others a chance to find anything potentially dodgy before you download it.
https://linustechtips.com/topic/1305318-popular-cyberpunk-2077-mod-pulled-from-nexusmods-over-telemetry-debate/