Whether amidol is better than something else for a particular purpose depends a great deal on the paper, and whether you want to use a water bath to control contrast.
Steve Anchell suggests that its "old style soft emulsions" that do best with amidol, and particularly recommended amidol for Cachet Expo, which is now sold as J&C Exposition graded and Efke Emaks, and in my experience with Smith's enlarging paper formula it does work better than other developers I've tried with this paper. By the same token, it doesn't seem to do much for Ilford Galerie or MGIV FB or RC.
Sandy King posted some interesting test results on the Azo forum a while back, comparing Ansco 130 to amidol (Smith's Azo formula), and he found he could get the same tonal range, but Ansco 130 wasn't as amenable to water bath treatment as amidol was.
To get the most out of the amidol I usually print any Azo prints I have to do at the beginning of the session, and then I add the requisite amount of KBr and benzotriazole to print enlargements on enlarging papers.