Cześć, friend!
Craving to end existence is vibhava-taṇhā. The best explanation in the suttas is as follows:
Some, becoming horrified, repelled, and disgusted with existence, delight in ending existence (vibhava): ‘When this self is annihilated and destroyed when the body breaks up, and doesn’t exist after death: that is peaceful, that is sublime, that is reality.’ (Iti49)
Vibhava is a term used by the annihilationists who desired to end a self or existent being: “They describe the annihilation, destruction, and extermination (vibhava) of an existing being”. (MN102) Here Ven. Bhikkhu Bodhi translates vibhava as ‘extermination’ and Bhante Sujato as ‘annihilation’. If in the 2nd noble truth we then translate accordingly “craving for extermination/annihilation” it becomes clearer what it means.
The end goal is to have no desire, even for nibbāna. But while we’re on the path, I think it is only natural that we have some desires, and that we naturally have a desire to end suffering. That’s what keeps us practicing in the first place! So the desire to end suffering perhaps isn’t so bad; however, the desire for annihilation (vibhava-taṇhā) is based on a misunderstanding that there is a sufferer to end as well, i.e. a self.
Even if you theoretically don’t believe there is a self, if you become “horrified, repelled, and disgusted” with life and want to end it for “selfish” reasons, i.e. because “you” suffer, then that would still be based on a view of self.
That is how I see it anyway.
The irony is that arahants have complete equanimity about suffering, so they don’t desire to end existence either. But exactly that lack of desire is what makes them not reborn.
What cessasionists describe sounds like craving to end existence
Most cessationists don’t actually desire to end existence. They just think/know/feel that the Buddha taught cessation despite what they desire.
nastempne pytanie prosha (inside joke)