This pic is 5 years old, so it is very likely this tube is long gone! It's a Sylvania F96T12/CW/SS that was close to EOL. I don't remember if it was rectifying...
No. Once it's past the rectification stage (totally dead) it's just like a missing lamp. So a slimline that's been totally out for months/years could easily still have a good ballast. Another thing I've heard is to give it 30 minutes after putting new lamps in to let thermal cutout reset if you just removed a bad lamp.