If it works of a charged battery 3v3_s4 and 5v_s3 is irrelevant. Why are you checking 3.3 and 5v rails when you don't have a green light?
Let's start from the beginning.. History? Why is this in your shop? Liquid? If so where?
Voltage on PPBUS_G3H?
SMC_BC_ACOK voltage?
Look at the schematic at U6901 and U6900 and see if they are doing their job.
Actually, mark this one solved.
When I saw the above measurements I swapped the DC Board and it worked fine.
Thanks again TCRS.