First, you can’t really tell anything about the strike from the video, because the strike moves much faster than the frame rate of the camera. It’s a very incomplete look at what really happened.
I’ll link to an explanation of a lightning strike I made in a recent thread. So you are correct that the discharge you see rises from the ground, but it doesn’t terminate at the umbrella.
This video uses ridiculously fast frame rates so you can actually see how a strike propagates.