Here I'm going to 'think' and 'feel,' though I have no doubt that others will happily find my errors and correct them!
The ground rod/ Ufer/ whatever has nothing to do with clearing faults, only for 'natural' electricity such as static and lightning. Thus our rule 'every structure gets a ground rod.' Note that it says nothing about every SERVICE getting a ground rod.
Now, let's look at your typical duplex or apartment building with independent metering of each unit. As I see it, one building, one ground rod, one GEC to one point anywhere in the stack. If there's a main disconnect, that's where I think the GEC needs to go. (Big opening here for differing opinions).
What if there's no main disconnect? Well, I say terminate the one GEC to any of the panels. Treat them all -whether the GEC is in the box or not - as a 'main' service and bond the cases to the neutral bar.
For example ... imagine a service mast to a sealed gutter, and that gutter feeding two 'all-in-ones.' I'd run the GEC to either of them, and leave it at that.
I'd do that for two reasons. The first is that both meter sockets likely also have the neutral bonded to the case, and I consider it enough to 'bond' the second panel via the PoCo neutral to the GEC in the second panel. (Second invitation to be corrected).
The second problem is: how do you get the GEC to both panels? The metering sections are deliberately arranged to make it difficult to feed it past the meters, through the gutter, and into the other panel. Indeed, I think there's even an NEC rule against ANY wires 'returning' to the metered side. Connect the two panels with pipe? I think there's a rule against that as well- and if not, you're certainly setting the stage for mixing services later on. Two GECs, one from each, to the same ground rod? I don't see what that would accomplish.
Now, I did see one duplex which had the respective panels on opposite sides of the building, and separate service drops. There's one instance I would want to see a GEC from each service to the same ground rod. I certainly would NOT want there to be two unconnected rods.
I'm very welcoming of different opinions on this one.