Not quite , because the router uses forward metric for
choosing the spf to the external route.The forward metric is the cost to reach the ASBR.
The forward metric of the R0 to the ASBR , is less to R1 than the forward metric throught R3.
verify ( R0 , R1 and R3 are in the same area )
show ip ospf data exter 1.1.1.1 <- who is advertising the external route
show ip ospf dat router <- metric to reach the next-hop to the ASBR