Many people are fundamentally motivated by fairness, and knowing someone else is getting more than they seem to deserve can violate that. Schadenfreude is a thing.
Myself, I think that longevity treatments are unlikely to remain unaffordable to the poor for very long after they are invented — even in a cynical world where the rich are greedy enough to try and keep it for themselves, old-age healthcare is really expensive, so societies which cause this to be cheap will outperform those that keep it for just the powerful.