I am running my BSP in USB sync mode, but the same thing happens in MIDI sync mode.
Currently the BSP only pauses when I stop the transport from my DAW. This is fine, except that some external devices connected to the BSP sync output get confused because the clock and start/stop signals (TRS from sync output) are held high while the BSP is paused.
It would be great if there was an option to actually stop the BSP (instead of just pausing) when I stop the transport from my DAW.
(The KeyStep has the same issue, I have also posted this feature requests there).