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One thing that I think we have been forgetting here is that in the Haruhiverse, time is not a continuum, but instead is like a reel of movie film, divided into sequential "frames". Thus, an alteration in any given frame can only affect subsequent frames if it is allowed to propagate to the subsequent frames. As such, entities can be "cut and pasted" between frames to effectively cause them to jump through time.
As such, what I think we are debating here is the issue of whether, if you remove an object from frame "n" (where "n" is any arbitrarily specified time frame), does that necessarily remove it from frame "n+1" (i.e. the immediately following frame, and hence those following)? Can you remove somebody from a "past" frame in the movie while leaving him still intact in every other frame, or does his absence from that frame force him to be absent in every following frame until he is "returned"?
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