It is unnecessary anyway for 056 to have auto reloader. Remember it is meant to operate within 1st island chain with a lot of support both from land and other ships. But I'd like to see it has more than 8 SAM, perhaps 16
I think 8 is fine, as you mentioned, within the 1st island chain, it has plenty of support from land and other ships. 16 may make it ungainly top heavy.
If the design called for more missiles, then it'd make more sense to simply install a launcher that held more rounds, instead of an 8 round launcher + reloading crane + stored rounds.
It would be interesting that instead of the current format of essentially a fixed box on a turrent and missiles are individually loaded, they create a box that is easily snapped on and snapped off a turrent. So when it comes time to reload dockside, instead of that pic with 8 guys, a pulley, a raised platform, and a dolly while the ship is bobbing up and down; it would simply be a preloaded box swapped in for the empty box with perhaps a crane and 2 guys?