A counter story: The battery in a Logitech wireless headset I had died under warranty. To send a replacement, Logitech would have had me "destroy" my existing headset and send pictures as proof. Given that interaction, and how quickly the wireless headset died, I am very wary of buying Logitech products, personally.
They do that because shipping things that have (potentially) faulty lithium-ion batteries is generally frowned upon, so in lieu of returning them some (potentially explosive) e-waste, they have you destroy it to ensure that you're not just trying to get a second headset for free.
This may be a thing they started doing after yours, but for the Logitech wireless headset I have they actually sell replacement parts for all the bits you could either wear out or lose.
Like they had replacement headbands, the side padding where it fits over your ears, and batteries, and even a replacement for the little USB receiver it uses.
