First and foremost please don't disregard the community read what everyone has been saying in multiple threads, these laptops are not meant to game on battery, it is that simple.
Both Prostar and NEPC which are both resellers have stated the same. If you guys don't take it from people who customize and sell the laptops for a living, I don't know what to tell you..
On a side note, I can tell you I had an issue on AC power with throttling. It would only occur though in one game which was StarCraft II. SC2 multiplayer would lag horrendously and complain to our party that my PC was slowing everyone down. Keep in mind I have a co-worker who has the EXACT same G750JH configuration I have and he did not have this problem, neither of us were the host of the game.
I tried turning down graphic settings, closing all tasts in the background, ect. All to no avail. The only difference between me and my co-worker was I had installed StarCraft in the default location on C drive, he had his installed on D. I read only one similar case where it said installing Starcraft II on an SSD can cause slow downs. So I removed Starcraft completely and redownloaded the 16GB or whatever it is completely on the new location on D, still same slow down / throttling. The GPU would throttle per Asus GPU Tweaker logs. It would go down to 120Mhz or something like that on the core.
So I went ahead and did a complete wipe. I wiped my OS and restarted from scratch. This solved the problem. I have no idea what was on my drive that caused ONLY SC2 to throttle but it was. Now it does not.
I only mention this because it sounds like your system has other issues as well. If you cant play youtube 480p videos on battery then there IS an issue somewhere. As long as you aren't hammering the volume and making the speakers crackle due to distortion, then I would possibly do a complete wipe in your case. You should be able to do just about anything but game on battery, as long as it doesn't use the discrete GPU heavily.
(ROG has simply become too expensive compared to the competition with same specs... 😞 )
MSI GE75 Raider 10SGS - i7 10750H - RTX 2080 Super - 32GB Ram - 1TB WD NVMe - 2TB 960 EVO - 300Hz 17inch Display
RETIRED: ALIENWARE R17 R5 - i7 8750H - GTX 1070 @ 1.9Ghz - 16GB DDR4 - NVMe 970 EVO 1TB - SSD 960 EVO 1TB
SOLD: ASUS G703VI-XH74K, RETIRED: ASUS G752VY-DH72, RETIRED: ASUS G750JH DB71 , RETIRED:ASUS G74Sx DH72