I find it odd that formonths now you continually ask about basic open carry laws in Arizona when it is clearly available both on the Open Carry maps located on this website as well as in the Arizona Revised Statutes page which is easy to find from Google.
If you take the time to review Title 13 (criminal code) under the "Weapons and Explosives" section you will find no mention of blades or knives except with regard to concealed carry (there is a reference about apocket knife on one's person). What is used is the term "deadly weapon" which of course is subjective and up to a court's interpretation. The only mention of restrictions on deadly weapons is where you can carry them, how you can carry them, and a section of prohibited weapons which does not mention knives or blades. Therefore, the carry laws apply equally to knives as they do to guns with the exception of the liquor establishments. If you can OC a gun legally, you can OC a knife, even a sword. The CC permit does not refer to firearms either but simply deadly weapons so it treats a knife also the same as a gun. Liquor laws have never said anything about non-firearm weapons in a liquor establishment so carrying knives has never been illegal. The general understanding is that the courts consider a knife to be a "deadly weapon" if over 4" in length and a non-deadly one if under that length. Therefore, if you carry a blade larger than 4" you must OC it according to the OC laws or conceal it if and only if you have a CCW permit.
I haven't reviewed the National Parks law yet. If it refers to firearms, then we may need to research it further but if it refers to "deadly weapons" than treat knives the same as guns. Enough said.