Bhikkhu Bodhi on Nibbāna

@Jasudho from that thread you posted:

This is the best of the convictions of outsiders, that is: ‘I might not be, and it might not be mine. I will not be, and it will not be mine.’
When someone has such a view, you can expect that they will be repulsed by continued existence, and they will not be repulsed by the cessation of continued existence.

Why should one then give it up such view?
I mean the ”repulsed by continued existence, and not repulsed by the cessation of continued existence” part, isn’t that the goal of the teaching?