No, the ip unnumbered address just needs to be legal so it is routable, then the serial or ppp interface just uses a def route out of it's interface to route traffic.
So you can refer to any interface on the router - as long as it's legal.
Just as an extra...if you assign an address to the Loopback0 interface, that never goes down (unlike a physical interface like fastethernet, serial, whatever) so the address is always available. Then use that as the source of you address for your unnumbered link.
You can give it a 32 bit mask, too, to cut down the number of IP addresses you use up.
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