Sorry, I don't know any specifics about your scope model.
The photos are large and detailed. Nothing seems amiss. I watched the video but couldn't spot whatever I was supposed to.
If the beam appears when the scope is switched off but not while it's on... This suggests another circuit is drawing too much power, or is drawing power directly from the hi voltage circuit. But only while the rogue circuit gets power. When no longer powered it stops draining hi V.
Just brainstorming here.
It's also possible the hi V diverts where it shouldn't while the scope is powered up. It hides. However it shows up after turning off the scope because it's at an intermediate voltage which is more prone to stay in its own wiring.
Do you see signs of scorching or overheating anywhere? Did you put your finger on components to see if they were hot?
Can you locate the hi V wire? Could it be what looks like 300 ohm twin lead, going to the circuit board near the center of the photos? Follow it. Look for carbon deposits anywhere along its length, where hi V might be drained silently when the voltage is sufficiently high.
You need to get V readings. It may be below 1900 volts while the scope is on. If it goes up to 1900 V when powering off, then you're onto something. Getting shocked is part of the job. Can't say I've ever felt 1900 volts though.
Look closely at surrounding components, whether wires are making contact where they ought not.
Do you have a service manual? Can you use a voltmeter to check the test points? Do you see printing on the chassis or circuitboards that looks like it might be voltage specs? Straight tinned posts sticking up from the board with a voltage printed next to them?
Gently pull off and push on the plug at the back of the CRT. If there's a tarnished contact then that might restore a good connection. On second thought, your OP states you get a beam flash when switching off. So leave the plug alone because it touches fragile glass.
While troubleshooting you might try using hi V from another source. (Maybe not easy to do. Just a possibility.) If you could get a beam some way, then you might spot another function of the scope is misbehaving. That section might be the one which now prevents your hi V from working.