When people spend their money, the money goes to the sellers. But this is hardly a no-op. Yes, when people have more money to spend that's good for the merchants who cater to them, but it's also good for the shoppers because they can buy more stuff. Having spending power means that the merchants are working for you. You can't get that without money.

It's rather weird that people can convince themselves that having more money to spend won't make any difference.