No door open light when trunk is open.

Recently I discovered that no warning light turns on if only the trunk / boot is open. The blue connector that goes to the latch is completely corroded and not working whatsoever. The trunk interior light isn’t working either (gets no power).

Can anyone confirm that the blue broken connector is the cause of this? The hatch locks / open and closes like normal. Couldn’t find it in the wiring diagram that easily.

Thanks.