Gehry Wiggle Chair. Early Vitra or Easy Edges  

Your wiggle chair is most likely a Vitra version reissued in 1992 (to be determined). A 25 year old corrugated cardboard will show its age, a 45+ years old will show more age especially if it was actually used as it was originally intended for (like the examples still used in his own office). The burn marks are common as you said from being cut by a band saw. Unless you can trace the ownership of your chair from the early 1970s, then it is one of the few originals made.

The Gehry easy edges corrugated cardboard & masonite furniture from the early 1970s were produced in very low numbers and Gehry pulled it out of production after only 3 months. Most of the examples if they are still in existence would have likely come from one of the model rooms/displays at Bloomingdale's NY. At that time early in his career, Frank Gehry wanted to be known as an architect and not as a furniture designer.

Found a photo of the Bloomingdale's NY model room showing Gehry's Easy Edges cardboard furniture from Cara Greenberg's book Op to Pop.