Well, if you want to bring this up, i think most teachers in Buddhist Sangha worldwide do not teach a mere cessation without anything remaining at a last death. But i do not rely on some majority of teachers. Taking all together, for me, there is no reason to believe Buddha teaches a Path to a Mere Cessation but he clearly says he teaches a Path to the Unconditioned, the Constant, Stable. Not desintegrating etc. That is the house he sought. A house that does not desintegrate. And this is in the texts described as nothing else but the everlasting peace of Nibbana. The fire of defilements extinguished just means peace.
The peace of Nibbana is not some acquistion but is there when mind is without grasping and does not acquire anything anymore, in this very life. If one understands that not desintegrating peace fully, the texts say, then one knows that rebirth is ended. If you like, see also the serie posts on the Peak of Peace.
Good with me, but maybe you cannot also stop these kind of remarks:
The peace of Nibbana cannot be treated this way. There is no use to see this peace as a substance or as some eternal atta, soul, personallity etc.
It is better to see this peace as non-constructed, no aggregate, no aggregation. Therefor it cannot fall apart.
This peace is also not a samadhi (Some jhana) nor calm (samatha). Because this all lies in the domain of the constructed, the produced. While the peace of Nibbana does not belong to the produced and constructed.
If you really believe Buddha talked about a mere cessation at death as an ultimate bliss, as constant, as not-desintegreting, the incredible, the refuge, a state of imperishable peace, that in which nothing manifest (etc SN43)…for me…that is just cynical talk.
It is like talking about an extinguished fire as everlasting??, as not desintegrating???, a state of peace??? Bliss??? Makes no sense for me at all.