Considering that surrounding text discusses ritual purity laws having to with entering God’s presence during worship, it is likely that some sort of formal worship garb is meant here that was differentiated by sex. But nobody knows or can know because the text is so old and doesn’t have a any talmudic tradition to put the complexity in historical context.

Certainly by the time of Jesus, ordinary men and women of the Mediterranean world wore simple tunics as everyday dress, not much distinguishable by sex.

Even in the Roman world, where only men (and both small boy and girl children) wore the highly stylized toga from time to time, it was reserved for formal occasions.

Plain tunics were the order of the day for everyday dress. When men wore more elaborate dress for fancy events, it would not be to our eyes much distinguishable from the fancy party clothes women wore.

Somebody from the Mediterranean world of Jesus’s day just wouldn’t have understood gender presentation by dress the way we do.