There's a certain greyness to it, which is why these sorts of issues get debated so frequently.
Technically, 'all may' simply grants permission to them all. It doesn't impose an 'all or nothing' restriction on them. 'All may' and 'Any may' actually mean the same thing.
However, within GW's rules, 'all may' is generally taken as 'all or nothing' while 'any may' is taken as allowing any number of them to do so.
That's going by how it's generally played, and how it's generally (from memory pretty consistently) been ruled in past FAQs dealing with 'All may...' type rules entries.
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