Following image shows MPDMS is indeed shoulder-launched as we can see that there is no tripod and yet there is a "gripstock" and what is behind it appears to be some kind of a pistol grip with a trigger. They are making this for Army and Army was going for Igla S which is also shoulder launched. So makes sense that MPDMS would be shoulder launched.
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For a SPAAG, other than the Russians, literally everyone, including the Americans and Chinese build SPAAG with their MANPAD repurposed for the missile role in the SPAAG. And Pantsir is not that great a benchmark being CLOS, although that does lead to the missiles being extremely cheap. Eventually it will depend on what Army feels is the best.
Do you have links to the MPDMS RFI and the Army's SPAAG RFI?