It is possible to change the name of paired devices in your Bluetooth transmitter.
You can find the necessary tips for this under the links below, depending on which device you use:
www.support.apple.com (changing the name of a Bluetooth device):
https://link.hoerbert.com/6M00K
www.techify.de (rename paired Bluetooth devices on Android): https://link.hoerbert.com/5pUwQ
www.genuine-lamps.com (how to rename Bluetooth devices on windows):
https://link.hoerbert.com/4i3QG