As I understand it, Hatari is mainly aimed at running classic ST games. I think its emulation core was the basis of the Amiga PiStorm and similar projects.
There's another all-software ST emulator out there called Aranym:
It has its own all-FOSS ST-compatible OS distro, AFROS:
https://aranym.github.io/afros.html
Aranym is aimed at running ST GEM as well as possible on modern machines, for productivity apps and so on -- so it sacrifices absolute hardware compatibility in favour of performance and features like high screen resolutions.
I would love to see a bare-metal Raspberry Pi version of Aranym, to turn a spare Pi into the fastest maxed-out Atari TT030 ever. :-)