when I ask you the
show ip ospf db external 4.4.4.4
this give the solution directly
the R2
can have three router-ID select one,
if it select router-ID the IP of interface toward R1 then R3 will sure prefer that Path toward R1 for external static route
if it select route-ID the IP of interface connect R2 to R4, then the R3 will use the route-link and again it will select the Path toward R1 to reach the router (which have router-ID 100.0.0.2) for external static route
last one which is solution for your case
if it select route-ID the IP of interface connect R2 to R3 then, R3 will use the OSPF rule that I mention first (prefer intra then inter) and select path toward R2 directly for external static route
why that happened
the R3 need path to router inject the static route into ospf
this path depend on the forward address and advertise router in external LSA5 of static route
hence the forward address is 0.0.0.0 it use the advertise router, and here come route-ID important
route-ID determine the Path R3 use to reach to that router
and again dont forget the OSPF prefer intra inter external even if the cost is different and less
hope this clear issue
MHM
