The bottom picture look like ATACMS boosters. I think they'd look like that whether they were shot down or not as the payload (usually cluster munitions) would be in the nose, yes?
I think they're engine units, yeah. "Booster" implies there's some sort of second stage, so that's not really the right word.
But yeah, these were NOT shot down, they're just the engine units that fall to the ground somewhere behind the target after delivering it's payload.
If these had been shot down, they'd look a lot more like the Stormshadow above, ripped to pieces (and probably with the warhead attached)
Edit: actually, a Stormshadow/Scalp in hard-target mode might also look like this, since most of the rear end would just kinda smack 'harmlessly' into the hard target after delivering the penetrator and follow-up separately.
The nose section isn't shown, which is what would be present on an intercepted missile.
