Several of the highest peaks are "closed". The only reason why Graham is closed is because of the telescope controversy. When actually, there is nothing on the peak at all. The telescope is on another peak like a mile away. Since UofA and the environmentalists couldn't compromise, it was written that all elevations above a certain height were off limits, which is completely stupid because now the Graham county high point is closed for no reason at all. I know of several fairly short ways to the summit, with no off limit signs any where in sight. I have spoken with several people who have recently hiked the summit without issue. There is even still a register at the summit.
Mt. Baldy is "closed" as well. The trail is entirely within national forest land, but only comes within a mile of the summit. The summit is on the White Mountain Apache land. There are no signs specifically stating that hiking to the summit is off limits. The only signs are ones that talk about how it's sacred land and stealing anything (plants, rocks, etc) is a federal offense. I recently spoke with someone that ran into a local on his way up to the peak. They had a pleasant conversation and both went on their way. Nothing was mentioned of the summit being off limits.
I guess what I'm saying is I'm willing to take my chances.