Although I mostly agree with you, I would say that it's fairer to call it a different interpretation of Adonalisium as a whole (IMO there should be a separate term for the combined primal force, so that Adonalsium can be used just for that one interpretation,) instead of the individual shards. I say that because of how when two shards combine, they create a third shard, i.e. Harmony from Ruin and Preservation, which requires interpretation of the whole separate from the parts. In support of your claim, I would argue that because with all of the shards combined, their personality altering effects would likely cancel out, the Vessel personality would be even more important. That solidifies that even if the shards were recombined to be exactly the same as before, Adonalsium 2.0's personality would not be expected to converge with 1.0.