OK, So I've never tried this with electronic equipment (which I think will make it harder).
But I've flown several times with personal radiation dosimeters as required by my employment at the time. Obviously, an x-ray exposure would contribute to a recorded dose - overreporting is a much smaller problem than underreporting, but still something to be avoided.
I've been able at all airports that I've tried, to either leave the item in my pocket, or where clearing of pockets was required (most often where terahertz imaging was used), hand it to a member of security staff to bypass the x-ray machines. Recently, this request to bypass x-ray has always led to a chemical swab being taken of the dosimeter (presumably policy, because it's too small to be a dangerous device).
This has sometimes involved a minute or two of explanation to the security staff in question. I've done this at airports in the US, UK and France. The UK staff at Manchester were perhaps the hardest to convince, and remained somewhat suspicious. TSA staff at IAD took some time to explain, but were friendly once they understood (they were also sticklers for "nothing in pockets", not even allowing card voucher type receipts etc).
So in principle, explaining that something you are carrying cannot be exposed to x-rays can get it to avoid the x-ray machines. However, it possibly helps if the item is small and safety-relevant, and I'm not sure I'd chance it with something that I couldn't let be xrayed. (Of course, the dosimeter also records a small level of cosmic ray exposure from long haul flights. So you should think about that with anything you are flying with).