Sure, you can “define ‘self’ however you like”, but then it might not capture what you care about, which for most people is continuation of subjective experience.
The claim that you can define it is actually a statement about the nature of the supposed continuation of subjective existence. That is not being ignored. It is precisely what is being commented on.
The claim that you can define it is actually a statement about the nature of the supposed continuation of subjective existence. That is not being ignored. It is precisely what is being commented on.