It'd be super useful if "Enable Voice Control" and "Disable Voice Contol" actions could be added, esp. as it's possible to turn off voice control via voice control, but as far as i can tell the only way to turn it back on is to navigate to a system preference several layers deep.
Would still like this, but more research showed there is a faster way: Open Siri via the System Keyboard Shortcut you've set, and then tell Siri to "enable voice control", then close Siri. So still, being integrated into BTT - as enable siri is - would save two steps.