Most people photograph the sunset and then leave, but those who stay a little longer are often rewarded. Example shown here.
You are so right ! When I tune in to a potentially beautiful sunset I watch it from beginning to end. Sometimes it really blossoms and continues to explode with vibrant colors and other times it kind of starts with a lot of promise and then just fizzles out. And, of course, there are many times everything between super and blah.