I’d have to dig into the warning archives but B warnings are few and far between here to begin with and I can’t recall GYX issuing one in an event under a foot.
I can’t imagine any NWS office out here issuing a Blizz Warning for under a foot though. 90% of the public doesn’t know the definition of it no matter how many times you tell them.
Everyone has their personal beliefs on this. I use them for identifying meso features close in, but I don’t treat the QPF as gospel. The mesos have crapped on themselves so many times close in I can’t even count. Ask @powderfreak