Read the fine print of your ticket to see what rights you voluntarily agree to give up to the airlines, in addition to the right to be treated fairly by them.
Given my experience, the airlines employees are allowed to lie to customers, even when it’s obvious they are doing so.
That’s why I fly as infrequently as possible. I recently had a business trip for several days in a city 1,100 miles away from home. I drove there rather than deal with the bullsh!t of flying.