She even seemed to use the boxes to get New Maya and Sensei closer to eachother, enabling Sensei to somewhat move on from Maya Prime, and spend more time with New Maya. The boxes were effectively used as a tool by current Ami.
This I agree, even if on the off chance that Ami Prime's true purpose isn't bringing New Maya and Sensei closer, this result is so obvious (at least from viewer perspective) that it is not possible to only regard it as an unintended side effect. Something that couldn't be answered as of now though, is
her true purpose potentially beyond just its immediate effect. Getting Maya Prime back? Really just
reuniting them? Ami Prime does this at the risk of revealing her time-traveling self to Sensei, but she does it anyway. Quite very intriguing.
Side tangent: I don't necessarily agree with Sensei's interpretation, that no box could ever be opened and it has always been like that. To start,
unless these new boxes just get spawned out of thin air through membranes of a different reality, Ami Prime would have to be the one that packed and left them everywhere to annoy New Maya; as in, she would've been able to open it. Then it's Alt Maya. Her going over boxes hidden in the school searching for time fuckery notes during reset7 would imply that Alt Maya can also open these boxes (I took the liberty of drawing an equal sign between Alt Maya's boxes and the mysterious boxes we all know because it is not possible to not think they are the same). Applying the same reason, if Alt Maya could do it, I don't see why Maya Prime couldn't.
However, the fact of neither New Maya nor Sensei could open just one box remains. Perhaps only those that have been deemed qualified by strange cosmic rulings can open one? Or perhaps only the true owner can open one?
(Also, looking back at
Memories in which Ayane also attempted to open some boxes with this new information: now I am not certain whether Ayane's attempt back then during reset4 was successful as the event is being quite vague about it)
If we go back in the game now and watch a lot of the events it doesn't become a contradiction persay, but it also doesn't fit in a "sixth sense" kind of way like "it was all there from the beginning, I just didn't notice!". I don't know, things are still on flux, but I've been getting that feeling from Selebus writing recently.
I 100% agree and that's why I now tend to keep my thoughts revolving Ami's involvement to a minimum. Such is the common flaw of any relatively long-living piece of work (one-man work, no less) as perhaps most of the early settings aren't really traceable in the context of deep contemplations. I'd love to stand corrected happily though if Selly does just that in the near future, but he has to work on it and the chances of all of these being irrelevant are not low at all.