What's weird is that F-Droid uses the same distribution model as any ordinary Linux distro, where it is assumed that all binaries are compiled from source by the distro maintainers, if for no other reason than to build them against system libraries. The binaries themselves are guaranteed to be built directly from public upstream repositories, in an automated fashion - rather like FreeBSD's ports or Arch's PKGBUILDs.
The real reason Moxie doesn't like F-Droid seems to be that it doesn't provide him with analytics "with a nice web interface that displays graphs and trends of time" - rather a nasty conflict of interest in a product that bills itself as "private" and "secure", if you ask me.