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WS format is with character cards, event cards, adn climax cards, each within the series of hte anime they're from. Some deck can work together, but mostly a set is meant ot work with its own deck nad boosters. Like PErsona 4 with P4 boosters. However Extra boosters are kinda like DLC for a set, like the PErsona 4 Animation, and PErsona 4 Ultimate (Persona 4 Arena in the US) boosters for the anime and current gen game respectively, which add ot hte original P4 card set nad can all work together.

For examplre, often character cards wil have abilities tied ot other cards in their own set, like gaining an extra ability when a specific climax card in played (aside from the Climax card's own abilitiy), or an Event card that specifically names other cards fro mthat set in it's abiltiies. The idea behind it was to play with your favorite set and play against other sets. Some sets are alowed ot be mixed when making your own deck, like PErsona 3, and persona 4 being copatable in deck-making despite beign seperate sets. Or the various Nanoha sets all being compatable despite being based on different series nad movies.