The answer to your question is yes they are the same round with different names. However there is another cartridge that might get you confused. There is an older round call a Winchester Rim Fire aka WRF. Not to be confused with the newer Winchester Magnun Rimfire. You can safely shoot the older shorter WRF in a rifle chambered for the newer WMR. An above poster made an incorrect statement when he stated the a 5.56 nato is the same as a 223 Rem. While in many times they can be interchanged they are two different cartridge with two different SAMMI presures.