Never converted to a tube line, but a GNR steam branch from 1873 to WW2.
The line climbed constantly from Finsbury park to Highgate, then stayed at around that same high level through the tunnels and junction all the way to Muswell Hill (clue's in the name) and the terminus at Alexandra Palace.
Google Earth indicates that the palace plateau is at 92m, while the ECML track level is ~38m at Alexandra Palace station, resulting in a rise of 54m over a distance of ~700m (at the closest points), which corresponds to a gradient of about 1:13 or 7.69%. Too steep for conventional rail. If such a link was desirable to the palace and Muswell Hill, a longer route winding round the hill with an intermediate stop for the palace a little below the plateau to reduce gradient might be more plausible, with a rise of say 44m over ~1200m, about 1:27 or 3.7%. Even that would be more feasible for light rail though. Maybe a peoplemover, funicular or cable car? Might also cross the ECML at Alexandra Palace and extend to Wood Green for a Piccadilly/CR2 connection.