My mom bought an '07 Matrix, which has essentially the same engine(1ZZ-FE). My experience with the dealer's Genuine Toyota dino oil is that the recommended 5000 mile interval is already pushing the limits of the Toyota dino oil--you can feel the drag on the drivetrain--and breaking past it usually results in the oil acquiring a nasty, almost brownish-green, opaqueness to it. It began its life with dino and has used dino oil mostly since the dealer has a 35 dollar rebate every three months, making about 6 quarts of the oil basically free. The varnish around the fill hole has been there since the beginning of its life.
A few Options : Sub 1 qrt. of oil with MMO and run a 3K mile OCI , Ditto but run 1 qrt. of Rislone High Mileage , or lastly run 5 oz. of Seafoam in the oil over the last 200 ~ 300 miles of the OCI . All work and I have never had any trouble using with multiple engines of various age .