South Africa's Umkhonto-VL SAM is IR lock-on after launch, fire-and-forget missile. Currently it's used in 8-cel VLS config, though I think it should be able to be used from above-deck RAM style launchers.
My original point was that short range missiles typically have 8km-15km range, and doesn't make a lot of sense to put it in a VLS system on Frigates or Destroyers. The bigger VLS cels on frigates and destroyers are better utilized for medium and long range missiles.
The French is supposed to be working on quad-packing the VT-1 missile in Sylver VLS cels. IMO this is not an efficient use of space, they're better off using the VLS cels for ASTER-30 SAM, and bolt a couple above-deck short-range SAM-CIWS systems. Just my $0.02.
Since this is PLAN discussion, let's go back to PLAN ships. Unconfirmed internet sources claim that the FL-3000N carries 24 rounds and uses enlarged TY-90 SAM with dual seekers and fire-and-forget capability:
Now, if I was going to design an AAW PLAN destroyer, I'd use the large VLS system for long-range missiles, and bolt a couple FL-3000N above deck for short-range defense. I wouldn't quad-pack short-range SAM's into the VLS system, it'd be a waste.