Except it won't, exactly because landlords are rational actors. Let's say the upkeep for a space is $400/mo, and the rental for that same space is 3000/mo. A storefront could be vacant for 2 years and a landlord would still turn a hefty profit if they were able to get someone to sign a one-year lease after the 2 years of vacancy.
NYC is a big place- for every 30000 people that think that the rent is unreasonable, there's 1 person who thinks that it is, and landlords only need that 1 person. Renters have no leverage here.