The exact thing happened to me today, no mod, only modification I made was adjusting the global loot spawn rate with notepad. I turned on generator and left the game, everything working fine before and when I try to log back later the launcher begins to connect infinitely or stating no server is available. Apparently it has been happening very frequenetly lately. (I also saw the profile corruption post in this forum while researching)
However, I was able to resolve this issue by doing a clean reinstall and putting my old save back into the profile folder, somehow my game was able to run afterward, did a pmc run and everything seems to be fine. But I can't guarantee this method will always work. because later again the same issue occurs, and I even backed up the profile during my last successful session and pasted it over, it did not work anymore. Had to do another reinstall and use my older profile backup, that somehow works again.
So I can only speculate that the profile doc is def corrupted somehow, and you should back up save regularly to ensure progress. Still hope that dev would troubleshoot this issue. As a side note, accompanying this issue my item icons all began to load really slowly, wonder if the two issues are connected.
Edit#1: And once again this issue occurred after I turned off the game for 2-3 hours. And this time clean reinstall somehow does not work with my latest save, but the older save that was previously deemed as corrupted somehow works now. No idea what's causing the issue, did some more digging and possible solutions are really all over the place, some people facing the same issue apparently just waited some time and the server just fixed itself.