Would gorilla glue or super glue not work as the cracks are thin
Generally, superglue is a bit brittle and useless for toe feathering. It creates a sandwich type bond (wood is the bread and superglue the filling) and there is no knitting into the fibres.
It's good for sealing really minor edge cracks.
Gorilla glue I don't have any experience with, but from what I heard it foams up which would suggest it isn't as strong as PVA would be.
PVA or wood glue basically creates a mesh and knits into the wood fibres which is why it creates such a strong bond.
My suggestion would be get a needle and syringe (you can buy them cheap online) water down some PVA so it's really thin, and then inject it into the crack.