At that point the devil is in the details.
I worked at a place where all emails had to be work related.
That was in the Cable TV Industry. Which, in it's own way makes sense; that industry has a 'Owner'->'Prime Contractor'->'Subcontractor' tiered setup for work that has always had the unspoken purpose of preventing field workers and installers from unionizing.
Wanted to send out an email about a fundraiser or special weekend craft thing? Had to have HR give the OK.
-IF- Amazon had and enforced such a policy it could be considered non-discriminatory. But I'm somehow doubting such a policy is fully enforced even if it is on the books.