All national forest campgrounds, picnic areas etc were closed on Monday the 23rd. This includes Roosevelt Lake which is part of the Tonto National Forest. BUT Launch ramps ARE open.(I called Tonto headquarters and was told ramps are open) There are various dirt roads in the area around Roosevelt with pullouts here and there. No issues I am aware of primitive camping there.

https://www.azcentral.com/story/tra...nino-tonto-apache-sitgreaves/2904703001/

On the other hand Arizona's state parks remain open:

https://azstateparks.com/press/COVID19