I think you’re right about all the claims of fact. The Buddha won’t suffer when he feels pain. But unenlightened beings, which is all the rest of us, particularly animals, will.
But the example of the Buddha goes to show that humans have the capacity to not suffer even in painful circumstances, even if right now they do. It’s not like “unenlightenment” is something you’re forever resigned to.
So taking pain as a proxy for suffering is pretty reasonable for thinking about how to reduce suffering
I agree that in most cases where someone suffers in the presence of extreme pain, they’re likely to suffer noticeably less if that pain is alleviated, but I don’t think this means “the best way to alleviate suffering is to reduce pain as a proxy for it,” since what’s actually causing the suffering is not the pain but the aversion to it.
But the example of the Buddha goes to show that humans have the capacity to not suffer even in painful circumstances, even if right now they do. It’s not like “unenlightenment” is something you’re forever resigned to.
I agree that in most cases where someone suffers in the presence of extreme pain, they’re likely to suffer noticeably less if that pain is alleviated, but I don’t think this means “the best way to alleviate suffering is to reduce pain as a proxy for it,” since what’s actually causing the suffering is not the pain but the aversion to it.