This is correct which will incentivize the constructions of private lots etc (assuming the people you mentioned value their time more than the $ those lots cost). I don't see any reason you can't trust markets to address the supply of a commodity product.
Exactly, it's not like a Target going up in an area with no parking minimums is going to be like "great our massive big box store won't need any parking!" They're just going to be incentivized to build enough parking to fill their store to levels they expect based on the massive amount of data they have, and not just some gut-feeling BS from the 60s in the parking minimums regulations "department store - 20 spots per 100sqft" or some bullshit.