I wonder if the efficiency of these three types of heating is based more on a cooking or industrial application. For instance, cooking
pancakes with conduction is quite fast. Cooking marshmallows with radiant heat is pretty fast. Cooking chocolate chip cookies in a convection
oven is slowest.
But, if you're trying to heat a body to a comfortable level, I'm thinking the order becomes reversed. It's much easier to heat the air in a house to 70 and distribute it evenly so that it touches all your body at the same time. And the walls, cat, floors, bed, etc. It's harder to heat your body surface with radiant heat on all sides (cold backside at the camp fire, roasting shins), It's harder yet to heat a body with conduction unless you are sitting/sleeping on a warm surface.
I also wonder about the efficiency claims. I haven't seen the numbers so I could be way off here. But I tend to think of things in terms of "energy cannot be created or destroyed". If my house is insulated to R20, does it matter which way it's heated? If I'm ok using radiant heat to
just shine on my body and let the rest of the walls, furniture,
water pipes, goldfish, etc drop to 40F, I can save some energy by concentrating it on my carcass. If I want that radiant energy to heat the walls and floors and goldfish and keep the pipes in the walls from freezing, I suspect I'd be consuming as much energy as if I was using convection.