I don't think so. Boeing will make 787 almost full composite. The
problem is their design. Both Cirrus and Columbia have very high
wing-load, therefore fast speed.
Which implies its stall speed is high and poor low-speed handling.
Wingload is the total wight devided by wing area. High wing load
means per square feet of wing has to bear higher weight of the craft.
In the low speed, you can imaging that the low air pressure max out its
capability to bear the weight.