The newer monitors might, but honestly..... I don't ever think twice about it, I always go through the discharge procedure if I plan on pulling the anode off or before putting it back on.
Your setup looks secure.
It's not rocket science...... is the tube secured, is the chassis secured, is any wiring being stressed, good to go.
I've heard other talk about degauss issues, but if the regular degauss is working properly it should be fine and take care of itself.
BUT...... I have seen and heard of the Happ Vision Pro's having a weak degauss circuit, so you may have to do a little extra manual degauss when you finish getting it setup.
(won't know till you fire it up in it's final location)
Make sure your ground is good and after you put the back door on call it a day.