No, the convex flank of the ring gear teeth is normally the drive side.
You can see the coast side contact pattern on the tooth flank at the bottom of the photo. It looks biased towards the toe and way above the pitch line. I believe both drive and coast side contact patterns of a new hypoid gear set run with minimal load should be fairly similar with a slight toe bias. As load is increased during service and the gears bed in, the contact pattern should spread out and move towards the heel.
One issue that this gear seems to have is that is was manufactured with a lower level of precision. Obviously it was not finish ground, since there are machining marks present on all surfaces, including flanks, roots and tips. I assume this gear was case hardened, and if the gear is not going to be finish ground after hardening, you might consider adding some correction to the machined tooth profile to compensate for heat treat distortions.