No, not going to do that. The last time I posted a bunch of dial photos from the Extranet Omega got on my ass about it, and I had to delete all the pics.
I suspect what the watchmaker is doing, is actually looking at the case number inside the case back, and ordering according to that. That is after all, how you do it. Unless this watchmaker is completely out to lunch, he's not going to order a dial for that kind of money, have it be wrong, and then not be able to return it (you cannot return parts because you ordered the wrong thing, so he would have to eat the cost of that dial). I trust what this watchmaker is doing more then the measurement that's been given, but that's just me as I do this for a living and know the consequences of screwing up.
I'm baffled why the watch owner decided not to take a photo inside the case back, or even write that number down, because it would end all speculation.