Almost every BABIP spike (or dip) comes with a correlated rise/fall in LD%.
LD% is a dubious stat.
I'm saying this off the cuff here, but I feel that it's not like players who get BABIP lucky have a s*** ton of little loopers and lazy fly-balls drop in. No, the players who get BABIP lucky tend to get credited with an unsustainable amount of line drives. Some of this is quality contact that's above their true talent, and some of it might be stringer bias (tendency to call a single a LD, while a fielded ball might have been called a groundout or whatever).