Hiked up and down Lion Head Trail the past two days. No ice on that trail, just soft packed snow on the lower part of Tuckerman Ravine Trail to the Junction of Lion Head and some snow on Lion Head below treeline, easily bare booted or done in junk spikes. Above treeline there is a big steep snowfield above the junction of the Alpine Garden Trail but with the warm temps it was boot packed down and fun to go up and down in the very warm temps, used my junk spikes yesterday but just bare booted today, no issues at all. When hooking back onto Tucks to the summit it's 99% rock.
Not sure about Boott Spur but I'll definitely get up it soon so I'll post what I see if no one else posts here or on NETC.
By Memorial Day Weekend I wouldn't see any issues with doing a loop of Boott Spur / Lion Head as most of the deep snow to posthole through in the woods on Boot Spur should be gone.
Enjoy your Memorial Day Weekend hiking!
-Chris