On Android invoking the grid also required a tap, not sure what it was like on iOS. But if you have a lot of cards, I still find it way faster to find the one you want when there’s more than one card on the screen at a time, even with the extra tap. Plus the swipe version on Android only allows you to move across one card at a time - you can’t flick to swipe through several cards, so it’s extremely slow.
What I would suggest though, is that when you select go back in time, you are just given the list/grid view. No extra tap required. I don’t see a reason personally to have the carousel there at all to select a card.