Should the story change again, and again, and an 'ACARS Off' event at some point in time, is used as a means of casting suspicion on the crew because they may have had some reason of their own to turn it 'off', then consider that the ACARS unlawful interference page has been made public knowledge at:
www.cockpitseeker.com/wp-content/uploads/A320/pdf/data/datalink.pdf
sk200.wikispaces.com/file/view/Manual++Operaci%C3%B3n+Normal+de+Vuelo+LAN.pdf
users.telenet.be/evics/content_11_1.pdf
.. and therefore a well researched interloper may have invited the crew to turn off ACARS as well. The crew should therefore be less suspect to the extent that an interloper could have trawled sufficiently deep to pull up these pages (or even got something out of the base Tech Library).
Nothing lasts forever, so we'll just have to think of a new method.
Meanwhile, have a think about who/what would gain from the blame being shifted towards the crew.