You are correct. They are terrible and wrong. Now, I have no problem with slices of American cheese in general for use in grilled cheeses -- they melt perfectly and the taste is classic, especially paired with properly crispy buttered bread -- but Kraft does not slice American cheese to make its singles. It does some extruded weird shit with HFC and assorted nonsense and I'm not trying to hear that. Besides, that mild flavor won't work at all with this bean burger. It'll just disappear.
There are many wonderful and exciting cheeses that are native to your fine land. If you can't find a cheese that incorporates spicy elements like hot peppers, I'm sure a sharp aged cheddar would work just fine. You can then slice it very thinly or grate it to ensure it melts properly on the burger.
eta Aha!
Here's one that looks just the ticket. Ooh, and
this one!