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It depends. A tech might pop open a few of the files they recovered to make sure they recovered correctly and intact, or it might have been impossible to miss, or... etc.

I don't see it as much different as handing one's 35mm film over to a photo lab for development.

In both cases, the technician would most likely be obligated by law to report something of this nature to the authorities if they uncover it. The key point is one can't trust them not to rummage through the data, if that's an issue, then use someone that is trusted or learn how to do it and eliminate the middleman.