None of my toasters (have three), toaster-ovens (two), oven broiler, convection ovens (two), Westbend Ovenette, nor Sunbeam C50 coffeemaker have grounded plugs.
Neither does my Sunbeam electric fry pan, Sunbeam rotisserie, Bamix mixer, Kenwood mixer, GE hand mixer, nor Oster blender, so that's me for you.
Don't iron in the kitchen, but most of my irons don't have grounded plugs either. Well the newer commercial/professional ones like the Sussman probably do....
Have a small power strip picked up from thrift store ages ago that sits on shelf behind toaster, coffee grinder, etc..., and can be reached from the stovetop. It has several ungrounded outlets and have had the Sunbeam C50 going along with making toast and nothing has gone wrong.
In any event we're discussing an appliance by Sunbeam made > 40 years ago when electrical codes and or other safety were likely different. That Sunbeam "automatic" control box likely was a godsend to any housewife who found herself with plenty of new electric small appliances, but no where to plug them all in to get breakfast or whatever going. Those with gas ranges and or otherwise didn't have that control panel often found on electric ranges, and or anyone else with space constraints likely welcomed those extra outlets.