Hi,
In the rules (even in the simplified version on BGA) it is clearly written that, after choosing your card, you must put the rest of the cards in the order of your choice under the right deck. Here and now there are put back but not only we can't choose the order but we don't even know it. Most of the time we don't really care. But sometime we just pass over the whole deck and we want to count.
I think proposing to put them in the order of your choice or to click "put them back in any order" would be a smart thing to do!
In the rules (even in the simplified version on BGA) it is clearly written that, after choosing your card, you must put the rest of the cards in the order of your choice under the right deck. Here and now there are put back but not only we can't choose the order but we don't even know it. Most of the time we don't really care. But sometime we just pass over the whole deck and we want to count.
I think proposing to put them in the order of your choice or to click "put them back in any order" would be a smart thing to do!