Ramial wood chippings from tree trimmers are best, IMO.
Let them age for a few months to avoid toxic mold blooms that can easily happen with fresh chippings.
I saw that too. Not sure I'd bother if your ground is draining.
Might depend on what ingredients you have in your run litter and if sawdust is viable addition.
Wood is not a bad ingredient for run litter but larger wood chippings would be better than sawdust, IMO.
Mine like to do that too......no worries, they may look like 'drowned rats' but are probably nice and dry underneath those wet feathers
There ya go! Sounds like the soil drainage is good.