First correct for co-morbidities as people get older. If any excess morbidity or mortality is left over then look for contributory mechanisms.
How do you hypothesize immunosenscense and exaggerated immune response in the same sentence ?
If you read what I say it's not immunosenescence. Immunosenescence is not present to any significant degree in 60 year olds. It's more likely an exaggerated immune response that's the problem.