You'll start to taste the difference once you get that one really-well-made pourover at a place that _lives_ for the love of coffee.
There are some coffee beans that have crazy taste profiles when properly extracted with the right water. I had one that tastes literally like a peach and another that tasted like a really nice tea.
Or maybe not. Different strokes!
So I can taste differences, but they simply don't matter enough for me. My areopressed coffee with nice fresh locally roasted beans does taste different from a mcdonalds pot. Less harsh, less chemically flavored. But for me those differences don't really matter. They are close enough that I can enjoy both.
But I would say I know I'm also weird in that food temp really doesn't bother me all that much. I enjoy my coffee even as it goes from hot to cold.
A steak for me can be more easily messed up. But then I've not tried instant coffee so maybe I've just never tasted the bottom of the barrel for coffee.