2) I have not seen people share a tea pot.
. . . pots don't not hold that much fluid
. . . pots of tea are not that expensive
Fainting...
My cousin, her daughter, and my aunt and I went to tea in September. We went a la carte, with one treat and an order of tea each (the 4 year old had the Mrs Pott's tea "package").
The Mrs Potts came in the smallest pot, and gave the 4 year old something like 3 or 4 cups of chocolate milk.
Mine was the middle sized pot, and it probably gave me 6 (maybe 5) cups of tea.
Aunt and cousin ordered the same type of tea, so they were given a very large teapot.
All pots would have been "refilled" with new tea, if we'd needed it, the server said. As it was, we were absolutely sloshing inside by the time we left.
I do not KNOW if they would let you share a teapot without paying for a second person, but if they did, that normal teapot (my teapot) would have been more than enough for 2 normal tea-drinking people.
I wish I'd gotten a more straight-on view, with something in there for scale, but without a child that's not mine (I don't have permission to post her picture) because my teapot was big, and the biggest one seemed enormous!
Oh here's one with the cup. The cover adds some height, but not that much!