Not sure I get the oven analogy. If I stick my hand in for a few seconds, sure, but if I was in the oven, I'll burn and die there too.
Temperature is not what burns you, it's heat flow that does the burning. A boiling pot has a lot of molecules densely packed together, so heat transfer happens fast. The air inside the oven is hot but will not be as effective in transferring heat to your hand. There is more "thermal resistance" between your hand and the air inside the oven than your hand and the water inside a boiling pot.
Eventually. Not momentarily.
It would take you much longer to die in the oven than if you would dive into boiling water. I didn't tried both so I cannot be sure, but I suspect that one can live in a boiling water just for a several seconds, while it is possible to live a few tenths of seconds in the oven.
Though it's worth noting that when talking about humans in air the humidity plays a huge role. Sweat cools your body through evaporative cooling, which works better the drier the air is. At 100% relative humidity you can't cool down and eventually overheat, at 10% humidity we can survive some ridiculous temperatures for as long as we can keep sweating.