Yes. A Sotapanna Anugamai belongs to the Sangha. That is the key point. Someone with a dvi-hetuka birth cannot become a part of the Sangha, because the level of wisdom (panna) for a dvi-hetuka birth is not enough to comprehend Tilakkhana (and the asubha and viparinama nature).
It is important to realize that “a given lifestream” can grasp very different bhava even in consecutive cuti-patisandhi moments. It is just how kamma beeja “line up” for the next bhava at the next cuti-patisandhi moment; see “What Reincarnates? – Concept of a Lifestream“.
For example, Ven. Moggallana was born in the niraya (lowest realm in apayas) in a recent life. But once his anantariya kamma (killing his parents) was paid off significantly, he was born with not only a tihetuka birth, but also to become a chief disciple of the Buddha. Of course, there was a “left-over” bit of that strong kamma, that led to getting beaten up and leading to a tragical death. Kamma is very complex.
Not only that, but Ven. Moggallana was born in the niraya (hell) in relatively recent times (before that last one), because he had been the Mara Devaputta during Buddha Kakusandha and harassed that Buddha. This story is in the Maratajjaniya Sutta (MN 50). A decent translation is at: “Maratajjaniya Sutta“.
Of course, we know that a birth in the niraya is much worse than a birth in animal or peta realms.
Therefore, having a dvi-hetuka birth does not mean one is not close to Nibbana. This is why we should strive to the fullest especially since it is very difficult to distinguish between dvi-hetuka and ti-hetuka births.
An aside: This is also why it does not make sense to think there a “self”. However, as long as one has specific gati that can lead to rebirth in good or bad realms, it is not possible to say “there is no self” either; each person is different. This is a deeper point.