The bore is NOT the same.
.22 lr is around .222" groove diameter if not a bit under.
.22 WMR is .224", same as most .22 centerfires.
Is the Cricket strong enough to stand swaging the bullet down? I dunno.
The rim diameter of .22 WRM is larger than .22 lr. Will that mean the firing pin would not hit near enough the edge of the rim for reliable ignition. I dunno, but you should before you start cutting steel.