Well, I can tell you that, relying on the experience of my own 30 year career using and reading LaTeX resumes, you're quite wrong. I appreciate a LaTeX resume because:

1. It's almost always much more readable than a Word document.

2. It's not about impressing people. It's about readability for the reader, and maintainability (by avoiding finicky and annoying WYSIWYG editing) for the author.

If using a LaTeX resume means self-selecting out of resume-grinding HR departments that require Word documents — and/or annoying entirely useless tech recruiters — that's a feature, not a bug.