I still have and use an Apple branded AA chargers (came with Eneloops in Apple livery). It has the same connection system as the external chargers so I normally have it connected to a long cable. Used it internationally with the same adaptors as for my MacBook charger.
Received a refurbed Mac and someone had swapped out their mouse for my rechargeable one... always a song and dance to re-connect every time the batteries die. (I pretty much use another mouse to get to the Bluetooth icon on the menu, I'm no Mac expert.)
I always shake my fist in the air and curse "Eric Seifert's Mouse" semi-silently in frustration!