An "ironic name" is a name that seems to contradict or be the opposite of someone's character, appearance, or situation. It's when a person's name doesn't match what you would expect based on their personality or circumstances. Full definition
It's a strange and ironic name for the exercise, but it's no more dangerous than any other warm - up exercise when done correctly. (marksdailyapple.com)
This is where the movie gets its slightly ironic name. (nerdlocker.com)
Les Nomades means the nomads in French — a somewhat ironic name for a restaurant that is a mainstay of the Chicago dining scene, having operated since 1978 out of a historic 1891 brownstone. (fooddrink-magazine.com)