It will probably not come off your plasma. I have one of the Panasonic plasmas. Amazing picture quality, but ESPN and abc logos burned in during the first 3 months. They are slowly going away a year later (only use it for movies now). I wouldn't play video games on it. I bought LCDs for my consoles and sports. I don't think you would be safe unless there was no hud, no marking of any kind that is continuously displayed. Plasma is going to die off at some point not too far out I think.
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Sorry to hear that about your plasma also. Only solid logo and objects get burnt in though, well depending on the transparency. For instance, in battlefield 4 I had my HUD set to about half transparent, using the opacity slide. Played for hundreds of hours with no other content in between with no issue. Certain icons in Destinys HUD like the super bar and weapon icons are solid, and do not fluctuate much. That's the problem.