When player host a LAN World, then when the people playing another player a LAN World, also they come to the player who host it, they in default skin, then the player host a LAN World while they playing, their own computer shown to be customized skin.
Linked issues
Comments 1
This issue is a duplicate of MC-52974. It has been linked to the original bugreport.
Please search before reporting any bugs, as it's likely that one exists already.