Is LinkedIn often used as a resume? LinkedIn to me is a social media platform. At least in the software companies I've worked for, and applied to, I've only ever seen actual resumes around.

There's a really tiny niche case where someone might notice or, if you point it out, be impressed or amused and have some say in the hiring process, but these will be weird rare situations that you can't predict anyway. I think you should do your resume with your most comfortable tool, and that might be LaTeX (in which case you can expand on it) or it might be Google docs and you know what? That's a pretty common documentation skill to want to have, too.

If I did get it in LaTeX I would probably question how much you think about your users, rather than looking clever around other devs.

I don't have a LinkedIn, and it doesn't let me view a profile without an account, which forces me to pass on applications that don't have a CV attached.