I find Dropbox to have much less friction (almost zero) compared to git. In the teams with nontechnical people it is often enough to just use Dropbox. Git requires manually committing, which is friction and people often forget to commit changes.
The fact you need one person technical enough to resolve conflicts is already a deal breaker.
Well, you can actually just script that. Dropbox is fun, until you want previous versions.
At the place I worked for 22 years ago, we had an SMB fileshare for designers/front-end devs (html templates + templating lang), which would simply commit everything to CVS at night.
The fact you need one person technical enough to resolve conflicts is already a deal breaker.