Step too far IMO. All that’s needed is which mod performed the action. The method they used to perform the action is unnecessary information for the broadcaster and will only serve to confuse less technically-minded users.
Mods can perform a number of actions via third-party tools currently and none of them specify in front-end logging which tool was used because it’s simply not necessary.
When a broadcaster gives a sword to a user, that user is responsible for the security and actions of their own account. If rogue actions are being performed, unmod that user. There’s no need to make it more complicated than that.