One example of how BD could've potentially adjusted his coverages
Taking the play at around the 17:55 mark of here
You see a high screen and roll with Valanciunas and McCollum. Everyone is matched up initially, as you'd expect, no issues yet. McCollum goes around the screen, Ayo goes over as best he can, Valanciunas sets a pretty good screen there and quickly rolls. Vuc is at the 3pt line ready to stop a pull up 3, but CJ splits between him and Valanciunas forcing Zach to rotate as the low man off of Murphy in the corner. CJ gets to the paint and kicks out to Murphy while Pat rotates from help side position on Ingram to the corner to contest (too late at that point).
Even if Pat had recovered well enough to deter Murphy, Ingram is now wide open on the wing as Zach would then have to rotate from being the low man helping to the wing and that's too much space to cover (you can see that's what he does but half heartedly as the 3 from Murphy is basically in the basket). More infuriatingly, Valanciunas manages to get inside position on Vucevic for a potential rebound, mostly because Vuc tries very hard not to foul CJ on the drive while Valanciunas rolls to the rim.
Now it might be easy to blame Vuc for his defense or Zach for rotating off Murphy, a known shooter who was hot that night, but I contend this is a coaching issue, not a player's defensive issue. Here's why.
This is a pretty standard rotation for a defense. From a rotation perspective, Zach did nothing wrong, but it's of course super easy to blame Zach for leaving Murphy open. Zach is just doing what he's told here. It is the wrong rotation in the first place.
Instead of rotating off of Murphy, I contend that a couple things could have happened to have it be a more difficult shot attempt for NO.
Option A - hedge + non traditional rotation
1) Optionally, Vuc could have fully hedged the screen, in other words, come all the way up past the 3pt line to deter CJ's initial drive or shot attempt. This is a slight scheme change. You are now basically forcing CJ to drive by design instead of being in position to contest a 3. Let's say CJ still penetrates to the paint either way.
2) Instead of Zach rotating as the weak side low man to help on the drive, Demar should've been that person instead. The aim here is to force CJ to pass to Herb Jones in the strong side corner, a much worse shooter than Murphy. Ayo, having been beat already in this scenario, would be able to close that gap to Jones much faster and also Vuc is potentially there to deflect the pass, but probably he's trying to get a body on Valanciunas. If you're going to give up an open 3, I'd rather it be Jones than Murphy.
This is scheme change because typical rotations off of this spacing would say stay on the strong side corner shooter and rotate off the weak side guy. This would be a scheme where you say if someone like Murphy or Ingram (or any good shooter) is in the corner, don't leave him no matter what. Leave the weakest shooter open instead. Jones is shooting 26% from 3 on the year, take your chances.
Option B - drop coverage
1) It's kind of a weird choice in this scenario given CJ is a good shooter himself, but here you contend that giving up a moving 3 off the dribble is better than a wide open spot up 3 in the corner for Murphy/Ingram/whoever. Vucevic doesn't come all the way up to the 3pt line here, he stays lower by the free throw line extended. This negates the Valanciunas roll and a CJ drive as a threat, while leaving the pull up 3 as the most viable immediate option.
2) Ayo could really play into the give up the pull up 3 idea by going under the Valanciunas screen. This is not really ideal, but you can argue that he can get under the screen faster and still be in position to contest the pull up.
3) Ayo goes over the screen like he does in reality and is in position for a trail contest on CJ's potential pull up 3, or to potentially recover if CJ does something else.
Option C - ice the screen
1) The Thibs special, before CJ even has a chance to go over the screen, Ayo is basically trying to force him to deny it and drive left by almost jumping the screen. In other words, make it it harder to use the screen than not use it.
2) Vucevic plays drop coverage. Since it should be easier for CJ to drive left than to use the screen the goal is to guide CJ into a pseudo double team with Vuc and Ayo. Vuc still tries to prevent any roll action from Valanciunas, basically forcing a lob pass as the only option to Valanciunas. It would be pretty awkward for Valanciunas to go all the way around to the left side of the court since he has to go back middle, where CJ is, so a regular roll or a pop is actually the better read for him on that play.
3) If necessary, Demar rotates off Jones to try to contest the Valanciunas roll if CJ manages to get the pass off to him. Again leave the weakest shooter open. There's no point in having Zach rotate over from the weak side as the action is still happening strong side, so Demar is the clear choice to rotate.
4) If Valanciunas pops, again Demar rotates off Jones to contest.
5) If Jones cuts from the corner, Vuc should already be in position to contest from his previous drop coverage position.
Now I'm not a coach and have never played organized basketball to that level so I am probably missing some things there, but these are ideas I know exist out there in real NBA coaching playbooks. All these are based on the overall idea of "maybe let's not leave good shooters wide open in the corner" and "let's leave the worst shooter open" which I don't care how bad of a defender you are, you can follow such an idea. NBA players can understand so much more than that, so let's at least give them that much credit.