"Highlighted" destructible items in Diablo 3, are they significant in any way?

That is the Haunt skill. When you use and there is no enemy on the Haunt's range, the Haunt will effect destructible items. You can make a test on a place with some destructible items and no enemy, like Act 5 or dungeon on Act 2. Just spam Haunt while you run and you see the Haunt will apply on the items and destroy them.

This thing its good on PC because, when you break some destructible items you gain a speed boost for a short time. So, keep breaking those items to get extra speed.

My founts: I have like 200 hours with WD and one entire season with the Haunt set.