The hole in the bottom must connect only to a tube running through the handle. With the teapot upside down it could be filled with no escape from the spout.

A sort of a Klein teapot? (explained at http://www.math.rochester.edu/misc/klein-bottle.html, nice photos of actual Klein bottles at http://www.kleinbottle.com -- a commercial site I have no connection to) I assumed that the hole in the bottom was just connected to a long tube that ended near the top of the pot. It would have to be filled at an angle, or a pretty large amount would slosh out when it was turned, but I can envision doing it. Assuming the tea is prepared apart from those to whom it is being served, a little sloshing presents no etiquette problems, but your solution would work much better (aside from the problems Mav mentions).