I've been using Mercurial in the recommended manner and urge that you be cautious, especially if any of the machines differ. The Dropbox fora are full of complaints of mysterious filename case problems turning up spontaneously. Hg (and I presume Git) won't notice or complain during routine checkins and you'll only hear about the corruption when it complains of a corrupt repo when you try to use it for real. Bad news. Wish I could be more specific about the problem and its workarounds; I'm still trying to dig out from this mess myself.
