If zero (the default), ICMP error messages are sent with the primary address of the exiting interface.
If non-zero, the message will be sent with the primary address of the interface that received the packet that caused the ICMP error. This is the behaviour many network administrators will expect from a router. And it can make debugging complicated network layouts much easier.
Note that if no primary address exists for the interface selected, then the primary address of the first non-loopback interface that has one will be used regarldess of this setting.