I want to know if the cards counter in parties for other players is for that stage or in total. It can't be in total, right? That's so tiny! Also, when I change the stage the card number doesn't. Does it have to update?
I'm not sure how long it takes to refresh the counters for party members, but it seems to take quite a bit longer than before-transfer. After their dps refreshes i believe the cards that are shown on their avatar is correct.
The counter is for the stage, your party members will see yours as the number under the "Cards Collected" text.
Usually takes a good 15 or so seconds for it to refresh the parties counters.