Now, in collaborative work I use Overleaf so there is no configuration problems with installing LaTeX (Google Docs for LaTeX), and give everyone write access if they want it, I sync it with my Dropbox and have a working LaTeX distribution if I want to edit without access to the network. Those who don't know LaTeX (which is a small number, especially if they don't want to learn the basics to edit the .tex file in the appropriate place) I can convert a version to Word for their edits, which I then incorporate, or they can just markup a PDF. The Overleaf document then has a complete history of edits, Overleaf supports Word-style comments and track changes, and I can be happy in that the other authors aren't going to break something in the Word "backend".
I also find offline word processors frustrating to collaborate on, but I am worried that OP is rationalizing their personal preferences post-hoc, rather than looking for the best option for everyone.
Thanks for the pointer to Overleaf, I will definitely check it out.
Edit: sorry, I thought you were the OP at first.