I know чоловік can be used as husband, but isn't муж more specific?
Муж is archaic. Чоловік is a standard word
Муж is russian word
'Муж' іs not archaic. We still use it today. And it is more specific.
However, in literary Ukrainian this word is not normally used nowadays (except some poetic texts), but was used in the past. So, it's archaic in literary Ukrainian.