I used the big magnet again tonight and it might have helped one of the patches a little bit. It can still be seen on the Star Wars logo (blue becomes red), but is now a lot less noticeable when the instruction screen comes up (red stays mostly red instead of going green).
While I was using the magnet, I could hear metallic echos inside the tube while I moved it along the tube face. As I moved the magnet closer, the patches became uniformly distorted with the surrounding areas. But the blue "spot" between them held the same shape and features as I moved the magnet.
I have a hard time believing that being struck on that point caused the problem. The glass is perfect. It almost looks as if the inner shadow mask was mangled with pliers from the inside somehow. There is some slight "dot burn" in that area too. Not real dot burn like the center, but it looks like an electron beam may have been focused there for a period of time. I wonder if that could cause this problem in any way.
If I'm feeling saucy later, I may take a video of the tube's reaction to the magnet to illustrate.