I had to drive an old Toyota through Llano Estacado at 44C when the fan and the AC had conked out. There was a lot of sticking my head out the window and dousing with water.

You can start blasting cool air in your face almost immediately, and if the car is overheated you can roll down the windows and stand outside for a moment to purge the hot air. And if you only meant the first couple minutes of driving, I don't think that was very clear.

Remote start is cheap compared to the price of a car anyway, if it makes a difference.

Also the sun isn't significantly hotter in summer than in winter; it's not going to make you overheat.

Many electric cars let you turn on climate control remotely. Do that a few minutes before getting in and you'll enjoy a cool (or warm) car.