Fuller’s conviction was in 1972. Seems unlikely that he would be on any sex offender list.
Yep, this could've pre-dated the registry just enough to avoid a registration. IIRC, there are "tiers" of offenses, some require lifetime registration, others have that requirement lapse after a certain number of years.
Some states have had to change their own laws to make their registries retroactive. I don't know if that's the case with Arizona.