The reality is the Lean Startup method is not about cost, it is about speed. Lean startups waste less money, because they use a disciplined approach to testing new products and ideas.
Lean thinking defines value as providing benefit to the customer; anything else is waste.
Except in very narrow cases, where there's breakthrough science that needs patent production, worrying about competitors is a waste of time. If you can't out iterate someone who is trying to copy you, you're toast anyway.
Learning to see waste and systematically eliminate it has allowed lean companies such as Toyota to dominate entire industries. Lean thinking defines value as 'providing benefit to the customer'; anything else is waste.