I don't have a schematic, wish I did. I'm not sure how much the following will help, but hopefully it's useful.
The lower power board I think is called the PMB. That might be short for Power Main Board or something like that. On the far left is a heatsink with a mosfet and a yellow transformer. On the back side of the board are a bunch of support components for them. I know for sure that under battery-power-only this mosfet is part of the 15v supply. It is probably part of generating other voltages as well. The number of windings on that yellow transformer suggests that too.
There is a card that plugs in horizontally towards the left side of the PMB that I mentioned in one of my earlier posts. I believe this card is powered by the AC input rather than battery and parallels the outputs of the same voltages made on the PMB under battery. But, I'm not aware of all it's functions.
If your 12v voltage is low under battery, and also under AC with the battery disconnected, I would suspect a partial short on the 12v output from both of those sources, or I would think there is a single 12v regulator somewhere that runs off the 15v or another voltage that both the PMB and the plug in card produce.
Here's something to note. To the right of the vertically oriented logic card mounted on the PMB are logic power test points for 3.3v, 5v, and 12v. The voltages are correct on mine except for the 12v test point which is showing 6.8v. It shows this while I am reading 13.6 at the AFCI jack. On the opposite side of that logic card, U11 on the PMB is an LM2596S adjustable buck device. The output on mine is 6.8v so I assume that's where the "12v" test point is getting it's power. I mention this so you don't go down that rabbit hole thinking something is wrong there. There may be different conditions which change that test point voltage, but it's not always 12v, and it's not related to the AFCI power.
I can't tell you exactly where the voltage for the AFCI comes from, but it's possible that plug in power card on the PMB is responsible. I would attach a meter to the AFCI pins and when booting from battery see when you get voltage there. I assume and hope it's about the same time all the little lights come on around the boards. If so, I would shut down and remove that horizontal plug-in card from the PMB. Then boot again from battery just long enough to see what power appears at the AFCI pins. It may be there is a short of some sort on that small card which is pulling the 12v down, or that card may be responsible for the 12v and isn't up to the task. You'll know either way with the test above because the voltage will change at the AFCI pins with the card removed. The concern I have with this test is that I don't know if it's safe to boot and run the Skybox with that card removed. I pulled the card on mine and did a brief bootup, which is how I located the shorted EMI filter. But, I didn't let it run past the initial turn on of all the little lights. I shut it down immediately, and I'm suggesting the same to you.
Good luck!