This log file gets recreated on every launch and is always empty. You shouldn't be writing empty files on a top level directory that's visible to users!
OK, I can reproduce this - the file is created when the app launches, and deleted when the app exits. It appears that one of our debugging logs is incorrectly being created (but not written to) when the app launches.
Somehow headlights logging is disabled for you, otherwise the log couldn't say that it is disabled. But you're not the only one to find oddities in that area.
Just wanted to give my 2¢ that I too have the file with the message about headlights logging not enabled.
I also wanted to note that you claim it is created, then deleted when Photoshop closes. It is always re-created if I delete it, but it is always there whether Photoshop is running or not.