Another question which I suppose is also kind of late.
Since it's the future how much CNTs will be available?
Near-future plans involve reducing its cost to 100 dollars per kg which is about 3 times the price of tungsten (granted, tungsten is also about 14 times denser than CNT so the same volume of material will worth about 20% that of tungsten).
But that's the near-future.
Can CNT become an almost common material for our setting?
I mean it's almost mandatory for exoskeletons and such.
I also made the Bocskai III tanks entirely out of this.
As always CNT is no wondermaterial and isn't the ultimate form of protection or whatever. It has various potentials, though.
For starters it absolutely replaces aluminium, light alloys or even many of the plastic-based materials.
Including Kevlar, of course. New body armors would be made of CNT which would weight the same (or less, if we consider the exclusion of steel plates and such).