No experience here with extracting teeth on purpose but a bit with a kitty with no teeth....
Percy, our family cat when I was a child, must have had gingivitis or some other gum disease - all her teeth fell out, one by one. I know she lived at least 4 years with no teeth. She was an outdoor kitty and was quite the hunter. Having no teeth never even slowed her down...I remember one morning she stood howling at the back door with a huge dead gopher at her feet...she always brought her conquests home so we could ooh and aah and tell her what a good kitty she was. LOL
Percy lived to be almost 17 which is pretty dang good for an outdoor kitty.

My point is she seemed so much happier after all her teeth were gone. I know any procedure is stressful for kitties but they do have much better pain meds for cats these days......
Paws crossed here for you and Ellie-Mae.....