Now I'm back I can answer my own question: No significant snow in the gullies on the south/southwest sides of Liberty Bell and the Spires. Looking down over the notch from the Liberty Bell gully below the Beckey route I could see lots of snow on that side - probably going to be there through the end of the season. So, if you're coming up from the SW (Blue Lake) side, don't bother bringing an ice axe. If you're coming up from the other side, bring an axe, and probably crampons too.