In the sentence "a copy for every two people", i.e. 'to share", would every two be synomymous with every other, where the latter would be used in the same sense as it is used in "I used to visit her every other week"?
No, they are not synonymous.
In common usage:
- with "a copy for every two people", two people share one copy, as you indicate; whereas
- with "a copy for every other person", one person from each pair gets a copy and the other misses out.
There is no sharing implied in the "every other person" case.