Seems that you have some leakage on input circuit.
Original charger detects that and doesn't power up the board.
It has a processor for this job.
Fake chinese charger doesn't have such processor and will always have full voltage output.
Original MagSafe2 charger has only 3V output first, at low current.
This issue is usually caused by Q7180.
Check R7180/81 and R7185/86 values onboard.
Also check if D7010 is OK.
Original charger detects that and doesn't power up the board.
It has a processor for this job.
Fake chinese charger doesn't have such processor and will always have full voltage output.
Original MagSafe2 charger has only 3V output first, at low current.
This issue is usually caused by Q7180.
Check R7180/81 and R7185/86 values onboard.
Also check if D7010 is OK.