I don't see how these two statements can be reconciled. The oil majors are playing in a much bigger way than they were a few years ago. But it is because of that circumstance that the majors are not beholden to the banks as the small players were. They can go idle for months or years at a time if needed and not go bust. This would make U.S. shale oil production even more elastic than it was in the recent past.
The bigger issue with shale production is how quickly each play fizzles out. So simply pausing new drilling will alone cause much supply to fall off in a weeks to months.
Because of their lowest cost to produce a barrel of oil, Saudi Arabia would be one of the last players to go offline due to an international drop in demand. It's unclear how long their current political dynasty will last, but as long as there is any money to be made, some political force there will continue to pump it out of the ground.
Further, there will long be a continued demand for plastics, so it's hard to imagine Saudi Arabia folding at any time in the next many decades.