OK, so that was a really amazing tip from Flagman!
If you have Chrome (or Chrome based, I tested in Vivaldi), you can install an extension from the Chrome Web Store thing called 'CheerpJ Applet Runner' That's it! No Java needed! It'll add a little icon where you have to allow running applets, mine looks like this http://10eastern.com/misc/cheerpj.png
Other than that it just works! Its a little slower to load, but seems to run well enough. Saving works.
Yeah, that's the behavior I was seeing as well. I didn't notice the applet was frozen though. That's sorta better. I was worried about the same draw being saved twice...I'm not sure if the 10e's code would like that. Otherwise, it's not harmful, just gotta manually close after saving.
As far as updating Java: I think it's safe so long as you stay with version 8. They just pushed out version 8 u171, which should be OK. But, at the same time, if you're only using Java for 10e, and disallow it everywhere else, it's kinda fine to not update it too.