"It seems clear that not holding a materialist-annihilationist view is mandatory.
Could we discuss what that would mean in practice?"
The Brahmajala Sutta (DN 1) describes those who hold the eternalist view
and the annihilationist view, which are both views about the self.
Anyone who has not yet removed the view of self, is bound to hold some
variation on these two views.
This is why DN 1 does not call these wrong views, nor does it ask lay
people to give up these views.
It describes how a monk, when he becomes enlightened, has transcended
"When those ascetics and Brahmins who are speculators about the past,
the future, or both, having fixed views, put forward views in sixty-
two different ways, that is conditioned by contact.
That all of these (Eternalists and the rest) should experience that
feeling without contact is impossible.
With regard to all of these .... they experience these feelings by
repeated contact through the six sense-bases, feeling conditions
craving, craving conditions clinging, clinging conditions becoming,
becoming conditions birth, birth conditions ageing and death, sorrow,
lamentation, sadness and distress.
"When a monk understands as they really are the arising and passing
away of the six bases of contact, their attraction and peril, and
the deliverance from them, he knows that which goes beyond all of
these views. [ DN 1.3.57 to 1.3.71 Walshe 1987.]