Nope. Maybe at Walmart, but not Sam's Club or Costco. Those are the rules of membership.
Yeah, no. They can try. People are sheep, and comply. Your stuff is your stuff, not their stuff any longer.
That’s all nonsense anyhow. The issue is these firms cannot handle “loss prevention” because they hire defective people and want to punish the innocent as a result. Try to stay focused on the issue, not minutiae