I discovered a few years ago what the Europeans have known for a long time. The standard American chambers for Hornet rifles are much too loose for good accuracy. The European guns in .22 Hornet (5.6x35R) have much tighter chambers and as a group, shoot far better. This chamber-dimension discrepancy goes a long way toward explaining why Hornets have such a spotty accuracy history. Some guns shoot great, and some are worse than ho-hum.
The Lee dies I have do size down the cases to the nominal factory-ammo dimensions so they will properly fit the European guns. In 1997 I had a custom reamer made by JGS in Coos Bay, Oregon, which is even smaller than the SAAMI minimum chamber dimensions. The Hornet pressure barrel I'm using was made by Bo Clerke and incorporates this tight chamber. As you can see from the target, it shoots just great. The downside is that you certainly have to full-length resize any case that's been fired in an American chamber.
That's not a big problem either, and it's a small price to pay for better accuracy. After all, if a light varmint rifle isn't accurate, it isn't worth keeping around.