I’ve taken out a number of posts. Best method i found was to turn the frame upside down and clamp the post in a vice, and use the frame as the leverage to force it to turn.
Alternatively, and this is the long drawn out method, is you cut the top off the post leaving a stump of a couple of inches and use a bare hacksaw blade to saw a line up the inside of the post till you are nearly through. Then grip a part of the post and twist to try to have the cut part fold in on itself.
In most cases the stuck corroded section causing the prob is only over a few inches and its never the whole post.
The prob is these bare alloy posts. The black coated ones seem to last longest between greasing