maneI'm not sure if it's just an idea but, is it possible to make the uploaded logs unlisted? I own a linux dedicated server that I use from scrims and I want to save the logs for my team.
It's just an idea- there's no such feature nor is there probably hope of this feature coming to life anytime soon.
I offer a plugin with Payload to automatically render log previews when a game is detected as "finished"; you can see that plugin here: https://www.teamfortress.tv/59986/payload-logs-plugin which may help you somewhat.