That sounds a bit suss to me. No mast manufacturer has ever said anything like that to my knowledge. I have some 10 year old carbon masts that feel as good today as they did when new. Still feel like magic masts and set my newer sails better than any of the others.
I recon is may be one of those things that is 99% in the head (like boards that are 500gms lighter) than any real performance thing.

On the other hand, I think there is some truth in the second part where he says one can benefit from trying a few similar, but different masts to find a sails sweet spot. This I have done a lot, and its amazing that a mast that IMCS tests almost identically, can feel and go different in the same sail.

Oh, and I have IMCS tested carbon masts new and again, many years and thousands of KM's later, and got pretty much identical numbers.