Yes, that is correct. For what I know (but I may always be wrong [;)]), a clocked audio interface (either internally or via a master clock) will automatically distribute its clock to its digital outputs.
What you need to make sure is that the other audio interfaces get their clock via the right input, if they have more than one digital or clock input. For example, if you have s/pdif, multiple adat, word clock, etc, on one interface, then the right clock input must be selected in the setup parameters.
Also, in your case, I would rather clock the 308 internally (or via a master clock like a Big Ben), because the Mac Mini doesn't give you too many choices in terms of clocking. "Slaving" the Mac Mini to the 308 seems more logical and reliable than the other way around.
Jerome