Newer foam materials are much more resistant to dry rot. They will last substantially longer than previous iterations. Butyl, NBR, Santoprene, and other synthetic rubber surrounds will essentially last forever, but can break down some in terms of resiliency but not to the point one should be concerned. The reason foam is still a preferred material is that it has excellent resiliency and it does not "pucker" under high excursion scenarios. Great care must be taken when designing a driver with a rubber surround so as to prevent the surround from "puckering". "Puckering" can cause non-linearities under high excursion scenarios and unwanted audible noise. Pliability used to be an issue with rubber surrounds as well but has become more of a non-issue with all of the different types of synthetic rubber available.
Most drivers now days are fairly well designed and do not suffer from "puckering" issues. The same goes for foam surrounded drivers as they are treated and will last for quite a long time.