Whose algorithm is better, or does it really matter?

Question

Alice and Bob want to make a card shuffling machine for their poker club. The problem is that they propose different algorithms and thus can't decide which one to apply:

Alice: For each card (going from left to right), swap it with one of the cards on its right, including itself.
Bob: For each card (going from left to right), swap it with any other card.

Whose algorithm is better, or does it really matter?

Answer 1

Alice's algorithm will bring the set of cards to the initial state after shuffling which defeats it's purpose.
And depending upon how Bob's algorithm randomly choses the 2nd card to swap positions with, its clearly better than Alice's algorithm. After all even if the final state is equal to the initial state in Bob's algorithm (which is very very unlikely) it's still one of the many random possible state.