Yeah, I'm using a compact BT transmitter currently (this one here, it produces wonderful sound with my Bose CQ45 headphones).
And while using it I thought it would be great to be able to skip tracks, control volume, play/pause etc.
Theoretically, as this runs via the Sony remote connector, it should be possible to implement it, even with track name transmisson for car BT connections, given that the remote displays this information as well.
One "just" has to reverse-engineer the protocol used by Sony for the communication...
With the Sony remote connector being a relatively big and sturdy connector it would be perfect as a hard dongle without cables, to just stick it to the device like the additional battery compartments.
It has even been kind-of-done with another player by Rojas:
https://hackaday.com/2023/01/29/wireless-minidisc-walkman-has-bluetooth-inside/
This, as an external device with control features, would be perfect for all those MD lovers out there.
For whoever is able to implement something like that, here's a rather good description of the protovol used:
https://github.com/xunker/SonyMDRemote