In real life an axe as such isn't something that travels back by itself..
And even if we give this property, it shouldn't be immediately. No, if this gets implemented, I vote for a longer time of inactivity for a tool to be taken away.
But, right now I think the tools ought to be redistributed to the active ones maybe because of how woodcutters was founded, as for the risks..I think it was planned that way partially.