What's the difference? One is a business and investment term of art that typically refers to tangible sunken costs like money and labour.
The other is a sociological term of art that typically refers to extreme efforts to avoid using new information to make a new decision or embrace a new point of view.
The first is created by fear of writing down an investment. The second is created by fear of admitting one was wrong. And yes, it's a false dichotomy to suggest they can't both apply.