Everything you say is correct - and the 10% savings will be allocated to lower prices, higher wages, or improved ROI according to competitiveness.
This pizza example is only one level of production. It's the savings from previous steps you ignore. Do you deny the existence of savings in previous steps of production?
If you have ten components of cost and the most that any of them are reduced is 10%, then you are going to have less than a 10% reduction in your total cost.
To argue against this, you would need to come up with a hypothetical company that can save more 22-23% at ANY level of production, without assuming inputs that are dropping by unrealistic amounts.