Yeah, that makes sense. I'd been assuming Glover had contacted the Cuffe directly and had a similar talk with it's captain before talking to Maya. But if it had been a quick 'text' message ('Divert to Iota Crucis system at maximum warp. Briefing to follow.') then it's certainly plausible.
And if the Volta is a specialist response vessel then it could be automatically informed as soon as the particle was directed. Glover wouldn't even need to give orders. Though if he's wise, he'd double check to ensure the message was passed along.