Well, yes and no. You're definition of shuffle is much different than their definition of shuffle. You're thinking a shuffle could mean a small reorganization of some cards from a given starting point. A true shuffle will implement pseudo random number generation algorithm to sort a deck of cards. This is done by casinos. Otherwise a deck of cards that isn't reorganized between games of play and has seen substantial play would likely achieve similar results.

No really, more often than not, the same deck is used many times, most homes have a deck or two they use until they can’t, so after a single game, just putting the deck back together would possibly make it novel, then shuffling on top of that. The chance of shuffling a deck which has existed before, is less likely.

I wouldn’t say BS. Just maybe a little misleading.

• This one specifies “randomly”
• This one says “completely at random”
• This specific the shuffles as “random”
• And this one is really clear, saying that “Card games tend to order decks in common ways, so you need to shuffle really well (about seven times using the "riffle" method) before you’re holding any deck which is truly one-of-a-kind. ”

If you shuffle it like how you would with eg. a bridge, then yeah it isn't truly random. But if you were to do something more random--say, you throw them in a wind tunnel and pick them up off the floor--then it will be random, and this will likely be a permutation that no one has seem before.