When I see rubber and flax I wonder how those materials don’t get brittle and degrade. I suppose that’s why rv owners cover their tires when parked for example.
Flax = Linen. Easily the toughest natural common cloth fiber out there. Got any 10 year old T-shirts? Flax is tougher than that. 100+ year old antique linen is a thing. 10 year old linen curtains? The only thing brittle or degraded will be the dye and the sizing.
Rubber does age, it is true - actual composition matters, degree of cross-linking matters, plasticizer content matters. But guess what? Once it is in the ski, the rubber is protected from the things that degrade it fast, like UV and ozone.
I don't know your specific area - how quickly do you go through mouse pads, door seals, weatherstripping, shoe rubber? In any case, the rubber in the skis will out-last any of those. Expect to need to change door seals on your front loading wash machine long before, or several times before, you notice functional degradation in the ski from the rubber going bad.