Countless companies have successfully rewritten their products. Properly done, people outside the company never even realize that it was done. Joel has a sort of reverse survivor bias; those who fail are noticed, but those who succeed are ignored.
I am utterly baffled by the fact that people are still posting that link as if it proved anything other than the fact that Joel Spolsky has absolutely no idea what he's talking about.
Or has this now become a running joke? Was the posting of that link ironic?
I'm not saying he proves anything but he certainly knows something about what he's talking about and the OP asked "why not rewrite" and Spolsky offers a number of reasons why. They might not apply here but they just as well might.