Still seems kind of silly. If you base everything on ubuntu minimal, you'll only have the one copy of that base image, which is a fraction of the size of the `docker` and `dockerd` binaries added together. No server running docker will have a problem keeping one or two versions of ubuntu minimal on it.

But if you go around "minifying" all your applications independently, you won't have that shared base layer. One application needs `sh` and another doesn't? Now you get two entire base layers, one with it and one without. Sure, each image's total size will be less, but the size of all your different images added up will be greater because you killed the sharing.

If for some reason the 29 megs of ubuntu minimal (or even fewer for alpine) are a problem (which they aren't on your server that already has over a hundred megs of `docker` binaries), then the right solution is to better control layer sharing. Ensure that you don't have different base layers between your applications. And then--strictly for kicks and giggles--you could minify that base layer to the minimal set of what all your images require. To save a 51K `passwd` binary (woohoo!).