There are two kinds of chess players...

I am a Folder.  While I recognize that Crumplers produce myriad random folds, and the end product is essentially as useful as that crafted by a Folder, the aesthetic discord present in one compared to the harmonious planar symmetry of the other is enough (for me, at least) to substantially differentiate between the two approaches.  This, and also that one method is substantially more resistant to unwanted poke-through accidents.

Thanks!  Actually, I've been trying to come up with real-life examples of cases where "some A are B, some A are C, some A are neither B nor C, and no A are both B and C", and the old fold/crumple argument was the best one I found on short notice.  You could say I'm trying to help you out.    

I have yet to find a way to satisfactorily agree with your disagreement. Though we have not agreed to disagree, which in and of itself is not a disagreement, unless you explicitly refuse to make that agreement, I have neither explicitly disagreed with your reply itself; that is, until now. Here's where I differ with you - it is within the category of chess that I'm saying there are two subcategories, the fact that chess in and of itself is a category notwithstanding.  It's a hierachical thing.  Now, were you to take issue with some other fundamental premise, you might gain some ground, and I would most likely have more work to do refuting your rebuttal, or rebutting your refutation, as it were, and hence may be.  Time will tell.