I've been to NYC where free and cheap parking is on nearly every major and minor street. I would consider it widely available. Yes, trying to find a parking spot is a nightmare but that doesn't mean it isn't widely available generally.
Well yes, because there are a lot of people. That doesn't mean NYC doesn't have ample parking; parking is literally everywhere all the time. Many streets park on both sides, so over 50% of the street real estate is parking! Consider maybe that parking demand is high, not that supply is low.
Parking is most certainly not widely available. If spots exist but all of them are always taken, that means zero availability.
If you go to a restaurant with 100 tables, all of them full and a 2 hour waiting list, would you tell a friend on the phone "Yes they have lots of tables available"?