Change bluetooth peripheral's broadcast name on peripheral, not just alias on computer

I have three Lenovo Thinkpad Trackpoint Keyboard IIs. I would like to change the names that these three devices broadcast to the computers around them so that I know which one is which from the list of Bluetooth devices. The solutions I have found on StackExchange, Changing Bluetooth Device Name and How to Change Bluetooth Broadcast Device Name , seem to only change information locally on the computer that I run these commands on. Other computers still see the device as "Thinkpad Trackpoint keyboard II"; the name the keyboard broadcasts to other computers has not changed. 1) Is it possible to change the broadcast information on the peripheral device itself? 2) If so, what is the software and usages to make this change?