I have the 380 EZ without the thumb safety and the 22 Compact with the thumb safety. I have a Clinger V3 Stingray holster for the 380, and the 22 does not fit in the holster, even though the pistols have nearly identical dimensions.
The Clinger holster is a kydex holster custom molded for each pistol model, so the presence of the thumb safety on the 22 may be the reason it doesn't fit.
It's possible that there are holsters out there that will accommodate both pistols, but I don't know for sure.