So muses conduct right? That could be taken two ways, the first being command or control. The second is like how wires conduct electricity. Like a muse of time (my aspect) being able to conduct time, time flowing through their veins or being able to transmit time from one person to another. Are all of these viable ways to interpret how muses conduct?

Yes, in more than one way too. This second meaning ties in to something that’s related directly to the Muse’s namesake- Inspiring. Like how Roxy was able to create the Matriorb because Callie was pretty much a Beacon of Space next to her.