Does 민머리 mean "shaved head"?

ANSWER: No, it means "bald head."

A lot of Koreans think the 민 in 민머리 comes from the word 밀다, which can mean "to shave," but it almost certainly comes from the verb 미다, which means "get bald" or "grow bald."

Dong-a's Prime Korean-English Dictionary (1998)

Dong-a's Prime Korea-English Dictionary (1998)