340 running hot

But if it doesn't spend enough time in the radiator where air can be drawn through, the coolant can not get cooled down, known fact.
And what happens to the coolant in the block while the coolant spends as you contend, enough time in the radiator? This link here (among plenty others) explains things and puts to bed the fallacy of slowing coolant through the radiator in order to draw out the heat:

Does fluid speed affect liquid cooling?