I have used LaTeX for a lot of things and it is a pain to use. It is like everything is stuck in 70s, from the syntax to the toolchain to package management.
I dont think either of them have to be turing complete though.
I recently started using it because Lyx does not work on my ARM based Linux tablet and its not too bad when used with a GUI editor.
It is a lot more powerful than other things I use (Markdown, Sphinx) and a lot better for version tracking and multiple output formats than word processors.