Technically Amiga Workbench was always superior to Windows 3, I think Microsoft won the PC because it was not tied to the hardware and variety of software.
Being a machine seen as primarily targeted at games didn't help justify the development of a rich software ecosystem for it, and porting from other platforms was difficult. If the Amiga managed to acquire a critical mass of software, either original or ports, the story could have been different. Maybe if the 3000UX were cheaper and ran Coherent rather that AT&T's Unix, it'd be enough to be a viable Unix-like workstation.