KSTraveler:
Do you think that the program will last until the end of humanity?
That's really (and hopefully) a long period, so to answer with a quotation which is mostly attributed to Nils Bohr (or to Mark Twain or Woody Allen): „Prediction is very difficult, especially about the future."
I agree with winterkjm that there is still potential for future nominations, even in countries that are already well represented. An estimation how the process will develop in the next few decades depends mainly on two questions (which have already been discussed here in the forum): whether yet under-represented countries are going to nominate more sites in the future and whether already well represented countries proceed in nominating new sites every year.
In the last years about 25 new sites were inscribed each year. If this continues we will have about 1500 sites in 2033. Why not? I see no reason for an upper limit. However, it could be frightening for those among us who aim to visit all WHS.