It did on the 286 as well.
I think the preemptive multitasking feature of AmigaOS is mostly overrated. Without memory protection, preemptive multitasking doesn't result in a significantly better end user experience. It's all fun a games until a program goes off into the weeds and then the result is the same with either setup, i.e. the user gets to hit the reset button.
Love the Amiga to death but back in the day when I first got my hands on a 386DX/25 w/ 8MiB of RAM and 1MiB trident VGA board, I didn't miss the Amiga one bit. I'd go so far as to say that Windows 3.1 was more sophisticated than classic AmigaOS ever was. It certainly was more stable.
Well, about stability you mix OS and applications, no memory protection forced serious Amiga programmers to write more robust programs, if you run a bad one the OS won't help you there. Kamelito