Second - The codes would be priced on the order of magnitude of pennies per verification - think 10 cents or less, accessible even to low / fixed income folks without really making a dent in their budget.
Third - the proposal explicitly mentions a nonprofit running it as an option, and the idea would be that law codifies the method to be approved, not a specific vendor, so competitive markets could emerge, too. Would you argue that restrictions on the sale of alcohol are creating artificial winners in the private sector of alcohol manufacturing?