I am not an engineer but there is a fair bit of this on the web and in composite books.
Like most of the above posts have said - it depends. If your laminate is loaded closer to its ultimate failure load then it will take fewer fatigue cycles to propagate cracks. Polyester laminates seem more susceptible to micro-cracking. We see this as soft laminates in Lasers, Hobie 16s and Endeavours or other old yachts with single choppy laminates.
The answer is to back off the stress by making the laminate thicker, which we often don't want to do - so we accept less life and go lighter.
Fatigue is a tricky beast. The DC 3 plane has basically no fatigue limit because they over designed the plane. It is so low stressed that the number of fatigue cycles is still way into the future. Yet more modern planes, made lighter and therefore more susceptible to fatigue, have been retired.
www.boatdesign.net/threads/material-strength-and-fatigue.13174/So a thicker, lower stressed old boat, can have a longer and stiffer life than a newer but more highly stressed laminate. Or you could just build it in wood which is really good for fatigue which is why they build trees out of it. Pair with epoxy and you have great fatigue resistance.
www.mjmyachts.com/images/stories/pdf/sp%20advantages%20of%20epoxy%20resin.pdf