Yeah I have absolutely no qualms about saying ignore your parents, they're completely wrong.
Interviewers do not give a fuck about the length of time you stayed anywhere. They care about solely about skills, experience and whether the personality of the person will fit into whatever culture they have going on. What managers actually give a fuck about is whether or not the new hire will make their life easier or harder, if you clearly come across as someone that will make their life easier they will hire you.