That is actually why I got into LaTeX in the first place!

My resume was initially done with LibreOffice and I'd send recruiters a PDF, and they would ask for a .docx, and when I would send that they would screw up all the formatting by inserting their ugly logo on the top.

When I "ported" my resume over to LaTeX, I would send the PDF and they'd ask for a .docx, I would say "Oh, the resume is done in LaTeX. Here's a link to the source and instructions on how to compile it, feel free to do what you need".

Then they would just submit the raw PDF.

..or they would just not submit it at all.

As far as I am aware that never happened. Every time this particular situation has happened, I have gotten a callback.