Different approaches to memory management differ in extent of how much of programmer's job they automate.
Garbage collectors are fully automatic and rarely if ever require to mind anything; automatic RC does almost everything but requires programmer to analyze and annotate some things as 'weak'; manual RC requires a lot more programmer's effort while still technically being "automatic"; and manual memory management means the programmer does everything.
Automatic/manual is a scale, not a boolean yes/no, and the point is that ARC lies on it a bit closer to manual than garbage collectors.