Those packages look like 1mm grid thermally enhanced flipchip BGA ... guesstimating by the 0.1" headers ... 29x29mm FF780
so if these are SIII, pretty much "could be anything from a L50 to a E260"
One thing kinda throwing me off... if those are HCs, 1.1V core doesn't make sense. HCII is 1.2V and HCIII and IV are 0.9V.
As for "what SIII would you need for that"... depends on how much time you spend optimizing, first guess would be 2 unrolled engines with 1 pipeline stage per round, each running @ 250MHz... gut feeling says a L150.
So, random guesses:
a) these are HCIIIs, they prototyped with SIII and forgot to update the label for vcore.
or
b) only SIII based prototypes exist, once they get enough pre-orders HCIIIs get ordered (about 8wk if you rush assembly... possible.)
or
c) they somehow got a whole bunch of large SIIIs really cheap.
or
d) something entirely different.