Not an expert but your description is largely correct. It won't be 100% uniform but for all intents and purposes may as well be. I don't think probe placement would matter.
To get water from liquid to gaseous state it uses a substantial amount more energy than just heating it between freezing to boiling point, which is why it's hard to get it to a boil but once achieved is fairly easy to maintain.
Enthalpy of vaporisation (or latent heat) is the concept, but I'm not too strong on the theoretical stuff. Adr_0 might be able to shed some nerdier light on it, he's less mortal than I.
I've never actually thought about how much difference there might be in boiling temp between wort and water. Maybe there's a degree or two in it? I've never measured it because, well, why? I'm too busy smelling the aroma :icon_drool2: and fending children from the pot.