Without that people have lived longer are more likely to have lower risks of death per year. And thus older people in such a society would on average live longer.
If someone has an increased risk of death per year from cancer or whatever because something is failing over time they are still aging.
If the rate per year stays the same IE being 20 or 20,000 has no impact on your risks of cancer each year then someone that’s 20,000 likely takes very few other risks and is more likely to live another 20,000 years than the random 20 year old.
> it isn't the "primary cause
Only if you’re using an inaccurate definition of aging. If everyone over 20 should have the same risk of cancer as 20 years olds the total number of cancers would drop by more than half.
People will still die, even in a world without ageing, which this treatment doesn't promise.