Coosa is not nearly as stiff as wood or plywood...
I took a quick glance at the test data from the coosa website and it states that the modulus of elasticity is 265,000psi for their strongest material (bluewater 26).. If you use their nautical line, its as low as 70,000psi.
Modulus of elasticity is basically a measure of a materials stiffness.
Plywood is about 1,000,000psi. So even the stiffest coosa is only 1/4 of plywood.
Then looking at purely ultimate strength (which is a materials resistance to fracturing/failing), the STRONGEST coosa board is 5,200psi where plywood is on average about the same.
So to summarize it, plywood and coosa will fail at about the same stress.. However to put it in perspective, if you have a plank of coosa and an identical plank of plywood and clamp it to a table at one end, and put a weight (say a gallon of paint) at the other end, the coosa will bend 4 times more (at a minimum) than the plywood.
So basically, the answer is no, you can't just use coosa for your stringers.. You will need to encapsulate them in glass just like you would with wood, but actually, you would need even more fiberglass than you would with a wood stringer.