Scott Alexander argues that 'I'm sorry you feel that way' is a valid and useful phrase in certain situations, despite widespread criticism.
Longer summary
Scott Alexander defends the phrase 'I'm sorry you feel that way', often criticized as a fake apology. He argues that in situations where someone is upset by an appropriate action, this phrase is a good middle ground between changing one's mind and being dismissive. Scott suggests that the hostility towards this phrase stems from 'therapy culture', which overfits social norms to benefit oneself in any given situation. He concludes that 'I'm sorry you feel that way' can be a polite and compassionate response when someone is upset by an action you continue to endorse.
Shorter summary