It depends on the situation, yes. If, at the hospital for example, I'm standing next to my colleague who is about to make an error, darn straight it's better for me to be right than kind (i.e. not embarrass them) in that situation.

"People may not remember exactly what you did, or what you said, but they will always remember how you made them feel," is a famous quote by H. Jackson Brown Jr. which has been incorrectly attributed to Maya Angelou. Anyway, it holds water; as time passes, do we remember the minutiae of our relationships with other people? I sure don't. But I do remember how I felt when I was around them, and that determines if I want to keep being around them or not.