NUMBER AGREEMENT (Subject-object, subject-adverbial)

They were wearing a mask over their face.
They were wearing a mask over their faces.
They were wearing masks over their face.
They were wearing masks over their faces.

Which is/are correct?
More than 1 person can only wear 2+ masks on their 2+ faces, or no?

Another pair of examples:
Homeowners are those people who own a house or a flat.
Homeowners are those people who own houses or flats.

They were wearing masks over their faces,

Homeowners are those people who…
– use either!

English! Such a contrary language.