is it possible for a nitwit villager to be converted to a normal one?

So basically I had a nitwit villager that I converted to zombie and then cured. After the cure he was dressed brown like an unemployed one and not green anymore. Despite this, he won't take a job no matter what I try. Did he really become an unemployed villager or is it still a nitwit "underneath"? Ps. Bedrock edition