I don't know the end result, but: One, no-one asked the Prince his opinion or confirmed anything with him.
Second, MC is childhood friends/aquaintances with the Prince, is wary of him because she can't tell what he is thinking at all, and so is one of the few people who doesn't basically worship the ground he walks on, which are all massive flags for ML character.
Third, MC's family/household are fully aware the Prime Minister is to blame for the situation, and most of them really don't like him because of it.