I’ll accept that your first three images could get away with being called toasties, but making a sandwich with a slice of toast doesn’t count. Open topped sandwiches of any kind should be taken out and shot, however they’re prepared. I’ll give cheese on toast a pass, but only because it’s a separate category.
Just because people mistakenly call toasties ‘Jaffles’, doesn’t mean that’s what they are. It’s wrong. Wrong I tell you! Jaffle’s not even a real word!