He, sallallaahu ‘alayhi wa sallam, would condemn ill behavior on their part:

Al-’Atheem Abaadi (a scholar) said: “The term, “I do not like that I imitate anyone” means, it would not please me to imitate a person’s words, way of talking, or actions as a way of disgracing them. The term, “even if I should get such and such” means, even if I were to be given a huge amount of worldly possessions (or gains).”

Al-Mubaarakpoori said: “An-Nawawi said: ‘Imitating others is a form ofbackbiting, which is prohibited. This would be something like walking with a limp and while bowing one’s head and other similar issues that are related to one’s appearance.’”