My aeropress method is 175 degree water, stir for about 10 seconds, press all the way out, top off with cold water.
As for your pour-over tasting different, what makes you think the one at the coffee shop is "right"?
But seriously, water temp, grind size, even how thick your filter is can all make noticiable differences because any of those can affect how much is extracted from the beans (and, also,
what exactly gets extracted). I guess you can ask the staff exactly what they're doing, but in general it's probably better to just experiment on your own and see how it goes.