Tried to find a pic I had before that had a line drawn around where the point and flat split but can't seem to find it.
Guess all I can do is reassure you that it is a lot simpler to separate them than many may think.
I always trim down the fat cap, you can spot where the flat portion disappears under the fat line that is between the point and flat, near the larger end end of the packer on the top and it sort of wraps around the flat and curves around onto the bottom.
The fat separating them is so thick you can simply slice with a knife and follow it all the way through taking several swipes with one hand and then pulling the point up and away from the flat at the same time until the disconnect.
Not sure this really helps but maybe it will spark something from a past time when you separated them.
Going for burnt ends with the point by any chance?