Rewards cards should be illegal and basically are privately levied tax on the poor and a subsidy to the wealthy.
Zero, zero companies will discount the sales price when the rewards cards are gone.
There is a strong argument that discontinuing rewards cards actually helps the extremely wealthy by taking from the middle class and giving it to the Uber rich shareholders and big business owners.
That's 2/3s of capitalism. Hold enough MA and V -- directly or through just having enough net worth in an index -- and you'll start to see this as a feature, not a bug.