It's unlikely that SED will have significant problems with burn-in - it is, after all, essentially a flat CRT.
Modern CRTs are quite resistant to screen burn, with the exception of very high brightness CRTs used in rear-projection TVs. So, I would expect normal brightness SEDs to be quite resistant - however, high brightness panels (to compete with plasma screens) may be more susceptible. However, there's no reason why the burn-in reduction techniques used in plasma screens couldn't be used in SEDs.
Having said that though, I have burned the screen on one of my CRTs (taskbar got burned in) and some CRTs at work, which are in regular use 24/7 are severly burned.
Again, like CRT there is no significant image lag or blurring (like with older LCD), nor are there backlights to burnout or dim.
However, how well the new tunneling electron emitters last isn't well known. It may be that these will 'burn-in' or age with time - unlike a CRT, where one electron source draws the whole screen, in a SED each pixel has it's own source.