Trains to/from the low-level platforms at Highgate would not have been able to access the Alexandra Palace branch.
Here's a map of the area:
View attachment 64305
Image shows an annotated map of the Highgate Wood area, highlighting the location of Highgate station and the tunnel portals.
I've circled the location of Highgate station in purple. The deep-level tunnels (i.e. today's Northern line) emerge where I've put the dark blue circle. The tunnels shown on the map with the light blue circle are actually the tunnels giving access to the high-level platforms at Highgate - the station itself being in a deep cutting.
I've drawn in black the route of the Alexandra Palace branch. (Cranley Gardens station was located where the route crosses Muswell Hill Road.)
The centre platforms at East Finchley are now only used by trains going to/from Highgate depot. If the plane had been completed they would also have been used by trains to Moorgate via the high-level platforms at Highgate.