When I started working on the Salmon and Pork Belly Burger, I thought making a good potato bun would be a no-brainer. After half a dozen trials and several pounds of patties, I acknowledge the task was harder than it seemed.
Though I won’t name names, the commercial potato rolls I’ve looked at are a bit of joke, as they use about as much potato flour as yeast (understand: not a whole lot). Check the labels yourselves! The main ingredient is wheat flour, and food coloring does the rest. There aren’t any eggs either, so that oh-so-potatoey yellow color is 100% Yellow #5, or 6, or whatever.
Pictures of my first attempt would not speak highly of my baking skills. Whoever wrote the recipe at King Arthur Flour should try to eat their own dog food some day — the result tasted fine but was too heavy for a burger. Both Modernist Cuisine: The Art and Science of Cooking and Further Adventures in Search of Perfection offer pretty similar recipes for regular, potato-free buns, but they each take over 24 hours. I understand the importance of flavor development when you work with yeast, but will one really taste a difference once the bun is sandwiching a flavorful patty, some cheese, and condiments? Especially with a potato bun? I’m not so sure. (Note: I tried, of course.)
Well, take THAT, messieurs Nathan Myhrvold and Heston Blumenthal! My potato bun, though inspired by your recipes, can be ready to eat in under 3 hours, and it tastes pretty damn good.