Will this work? Most of the time. Is it a good idea? Probably not. Using Dropbox violates a basic expectation of the git toolchain: that it, alone, will manage

Will this work? Most of the time. Is it a good idea? Probably not. Using Dropbox violates a basic expectation of the git toolchain: that it, alone, will manage the contents of the repo. Any process that alters files within the git repo without going through the git toolchain is a bad idea, IMO.