That is not the recipe. They are not 2 large eggs alone. They are actually a majority dairy product, in Starbucks case, roughly 50% cottage cheese. The cottage cheese acts as a binder, so I’m not sure why they add rice starch, except to dry it out a bit.
I make homebrew versions: 50% egg, 25% goat cheese, 25% HWC. I don’t cook the protein in, as 'Bucks does, because it messes with the texture. You could use anything in 50-50, with eggs… HWC, Whole Milk, Philly, goat cheese, cottage cheese, etc. Mine is a better keto product than 'Bucks, but I don’t have to worry about customers beyond myself.