This is the fourth time I attempted the model, and the first time I completed it. All the other times I faulted the paper (and just possibly a bit my folding ability) for the failure. This time I made some double tissue, which is one of the recommended paper choices for the model. And indeed I succeeded in completing the model. It might not be the tidiest fold, but I am still happy that I managed to complete it this time round. Also see a picture of the back view.
Paper: 48cm square of double tissue
Model: 18cm length, 21cm wingspan