I don't know if GDTs are manufactured to avoid it, but neon tubes notoriously degrade over time and use, due to oxidation and other contamination of the electrodes, or dilution of the gas (which, usually the bulb is sealed fine, but if helium is used, it diffuses very slowly even through solid material). It's possible the same effect applies, but it can be alleviated (giving longer, if not unlimited, life) with proper manufacture.
Also, needless to say, GDTs don't discharge very often, whereas neons can continuously. So it might be effectively irrelevant in practice -- if it lasts say millions of surges (or whatever the datasheet says), you're already well outlasting a MOV.
Which is kind of a good reason to avoid a radioactive type anyway, if you need super long life equipment (20yr+). Just as well, eh?
Tim