This ridiculous notion that can you 'solve' a crime by reconstituting (the Portuguese term that more accurately reflects what reconstitutions (distinct from reconstructions) seek to do, is one we must hope, the PJ will quietly drop, in the fullness of time.
I have used the example before, but am happy to repeat it.
Witnesses to the summary execution of innocent Brazilian man, Jean-Paul de Menezes at Stockwell London Underground Station, London, "saw" a man wearing a heavy-weight, knee-length coat with leads trailing underneath, who pole-vaulted barriers, sprinted onto the train and was then pinned to the floor and shot dead.
The truth, revealed by CCTV video: he was wearing a light weight denim jacket, made a leisurely entrance onto the platform, stopped to buy a paper, boarded the train in an orderly way, was pounced on, pinned to the floor and shot dead.
I don't suppose those witnesses were lying. But they sure as hell were wrong.
What price a reconstruction/reconstitution of revealing the truth?
Nil, I would suggest.