The increase in the rate of crime it is based on some traditional indications, perhaps must be updated, well this depends on the countries where it is determined, but some countries do not include the computer crimes, scam schemes based on cryptomones, etc.

So be specific in which if Bitcoin is causing raising these crime rates it is a question of accepting any crime where Bitcoin is involved formally in the statistics.

As for that if in the third world countries there is growth crime for the use of Bitcoin actually in that data the countries of the first world are best taken these complaints is at least better documented in the countries called first level.

In any case, the rate for traditional crimes is so tall that it will be very difficult in the short term that based on the cold numbers to determine that in a specific country that rate of criminality increases by the use of Bitcoin.

On purpose there is an index, the GPI (Global Peace Index) where we can see that certain first-class countries are far away from the top.

Source: https://en.wikipedia.org/wiki/Global_Peace_Index

Other source: https://www.economicsandpeace.org

Maybe a good hint of departure to start a serious study would be focused on the ends of this list and compare results.
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^{This page shows in detail the global classification:
https://countryeconomy.com/demography/global-peace-index}