On the Food network they boil potatoes, but they poach carrots. They poach turkey, but they boil eggs. They sauté' onions, but they fry eggs in the same pan. Likewise, they fry hash browns, but they sauté' onions in the same pan before adding the potatoes.
I can go on for days.
I noticed that too, but I think they meant, “in the situation where you want the potatoes to come out a particular way”.
Their wording was “You’d use delicate foods like shell-less eggs or fish or potatoes you don’t want to overcook or break.” Which could be a list of things that you don’t boil including potatoes or a list of things that you don’t boil and also potatoes in the special circumstance where you don’t want those potatoes breaking.
Honestly though I can’t think of any circumstance where I’ve heard of potato being cooked by immersion in water where that water wasn’t set to boil, they just take a long time to cook and need pretty heavy heat to soften so even when trying to be careful I’d find it strange not to boil them at all even if for just a shorter time frame.