As for the three tea bowls, I'm in camp throw-facet-stretch. I do not think they are carved.
Michael Merritt AKA Try Pottery has a very quick YouTube video that shows a variation on the process that I find more effective that the Mark Peters way version. Check it out here: https://www.youtube....h?v=S7tviAa3oT0. The big difference is that in the Peters video from CAD, you go directly to a thick cone, then stretch to a bowl. In Merritt's version, you throw a thick bowl, then cone it back in before faceteing and stretching. Peters' end product is GORGEOUS, but in trying to learn this process I found initiating the bowl's curve from the start made for a more bowl-like form. I continually ended up with a nasty learner's curve/shoulder when going at it the way from the Peters video.
There is another video I'd highly recommend that touches on this process. The Goldmark Gallery has a video focused on Lisa Hammond - her pots, process, studio, life, etc - that can be found here: https://www.youtube....h?v=JSDhR5__kRM. The faceting/stretching business starts at about 3:30, but the whole video is a great watch. Really all the Goldmark short film spotlights are great.