Pretty new to crane work myself, even took my first brush picks yesterday. Before that its always been ground work and some trunk picks. We've stood a few up, some like you described and some of them we tension, cut 80% through from bottom to top, then the crane lifts and tears the wood fibers. Then finish the cut if needed once its vertical.
I'm not sure yet how to decide if you should notch or tear a lifted piece, I just give the crane op what he wants. He has 28 years experience so I trust him to make the right call.
Here's one from today that was stood up using a notch. 4100lbs.
Edit: thats not me in the video,
@kiteflyingeek made that cut, that was the last piece I was on the ground for, then I took out the trunk.