It only took 25 days, but I finally got a response from ChessBase to my tech support query about what this dialog panel does:

Answer: It doesn’t do anything!
Here’s the e-mail I received:
The Publish option does not work in the moment. In the moment there is no other solution to transfer the HTML files of the script manually to your Server.
3 Comments
Gotta love that English!
(Grrr…)
I don’t know if I should laugh or cry.
So I’m wondering at what moment it will become functional…