It's hard to me to believe any player has risen or fallen all that much. If guys like Dilly and Holland are now thought of as late-lotto picks, they were likely always thought of that way by teams. If teams liked those players, they probably aren't freaking out about them not blowing up the combine or even if their workout didn't go well. It's unlikely that any FO has only experienced bad workouts leading to bad prospects. A team like the Spurs certainly shouldn't be caught flat-footed where they loved a guy for years only to dump him because he gave a bad interview. Add in that we don't even know what reports are even true, and I don't put much stock into any of this board movement.
But assuming it's true, I wonder if the Spurs will behave differently in their position. Let's just say that Dillingham, Holland or Collier is about to experience a slide similar to Murray in 2016. The Spurs scooped up DJM because they still had a high grade on him. But it's easy to make that argument when you have a late-first. Had the Spurs had, say, the 10th pick instead, would they have taken Murray? We may find out that the Spurs might have been telling the truth and snatch up a guy who would've fallen much further down otherwise. Or we might find that that talk is spin, and they'll pick someone mocked in their area of the draft and let the fallers go to later teams.