Nevermind, I got it working

Turns out the games_mp.log was being written, but to a completely different and pointless location on the drive.
Everything is running smooth now

To anybody else, who might happen to have a similar problem with the Games_mp.log file "apparently" not being written, or even created. Do a search on your drive, and chances are, you will find it elsewhere, and being written to.
You shouldn't move it unless you know what you're doing (not that I do) because if thinking correctly, it will just create a new one in the original folder you found it in and not make a blind bit of difference. But even at that, I still wouldn't move it... if its working fine... DON'T touch it lol!
Can be locked, or closed or whatever now.