Right now they can only see cards they're assigned to or that have no one assigned to them.
I want the members to be able to see all the cards, whether they're assigned to them or not.
Not sure about this, but if you've only invited them to the team and not the board specifically, is the visibility set to Private? Changing it to Team should make it Team Visible.
@David Congreave they have probably inadvertently turned on filtering:
https://help.trello.com/article/787-filtering-cards-on-a-board
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