I had the same issue : no reaction of the Surface Pro 4 after a battery replacement.
The Schottky diodes were Ok, same for the shunt resistor.
I found the issue and succeed to solve it, by replacing the IT8528 chip on the board, using a rework station available at my work.
The Surface works again, almost a month after the bad repair.
Careful during battery replacement, they are really fragile to misconnection
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