From my limited knowledge on CRTs, I would say very possibly. You appear to have good convergence in the crosshatch but the rainbow effect is over it. It doesnt really look like a purity issue either, but you could, if you felt comfortable, try to move the yoke a bit in and out and possibly rotate the rings a bit to see how, if at all, you can affect it. Indeed its probably fucked though.
My money would be on yes. Any issues pertaining to the yoke and convergence/purity ring positions should result in more splotchy discoloration, as far as I know.