An individual organism surviving for the longest amount of time is not necessarily optimal at the species level. It could be that mice (for instance) have a bit too high of an IL-11 response, but there's either no evolutionary pressure against it or there's some species-level value to it.
Above all, since only one interleukin was targeted in the research, we can't assume that all inflammation is bad and that no inflammation is ideal.
On a related note, I wonder if there's anything commercially available that can suppress IL-11. Currently, I'm taking phycocyanin extracted from spirulina, which is supposed to suppress COX-2 and IL-17, but I don't see any research confirming whether it has an effect on IL-11. Would be cool if I've unwittingly begun extending my lifespan. :D