I have the same request. I’ve been looking for a solution just like this, evaluated a number of them and I promptly bough AudioRelay lifetime license seeing how well it works in the basic scenario of relaying sound. I was sort of hoping the promise of “Stop and resume the stream” in premium would translate into playback controls, but it sadly didn’t.
I have a similar case - I want to use my PC as the primary audio source, however whenever I step away I want to maintain the best range and also pick up calls on the same headset. It’s a lifechanger to be able to do that now seamlessly.
However, if I could use my headset playback controls just as seamlessly, this solution would basically become my only way of managing sound, period. Since we have a two-way connection already, I’m sure playback control data could be relayed as well.