There are non-profit Living Card Games out there, including the current iteration of Star Wars: Customizable Card Game, but they still package card design together internally.
And you sidestepped my comment about cohesive card design. It isn't just designing cards, but the collection of cards together as well. Why separate these two activities?
And if the open source model could work, I feel like it could have been implemented by now. We've seen it implemented in RPG's and some board games, but why not card games?
I literally gave the name of a non-profit game with my response.
And I recognized you can create a card game without a for-profit company running the design.
I feel like you are taking past me because you are conflating tying two design activities together as requiring a profit motive.