Semantically speaking, "truly" public means publicly owned and run, as Bethpage is a State Park, i.e. a "muni". Pebble and Pinehurst are privately owned resorts. Broadly speaking, "truly" public was also being used to mean "affordable" to the masses.
In terms of Pebble's playing time, my one round there 4 years ago on a Sunday morning lasted max 5 hours. Me and another sharing a caddie and two other guys in separate carts. Being a first timer, I didn't mind 5 hours so I could enjoy the sights.
Also, no one objected when the other guy who shared the caddie with me and I played the tips. The starter was a little hesitant, but it was no real problem. He just didn't want to move from his perch between the blues and whites
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I probably enjoyed The Black just as much as Pebble, despite rain on about 6 holes at the Black.
I also did not sleep in my car to play there two Septembers ago. I had a 4:12 tee time through the system (only enough daylight for 9), got there at noon, and got a 1:30 tee time after an entire 4-some didn't show. All 4 of us were first timers to the Black and otherwise walk-up singles. We all were like kids in a candy store how we enjoyed the course.
It doesn't hurt that most who play there would be walking anyways, w/o the rule. Playing a course where everyone walks and carries because they want to is special. At my club, probably less than 10% of all players walk, so it is a big deal to me for everyone to play the "right" way.
For the money, give me the Black any day.