No, F# is completely supported by MS. And that's the problem with the alternative languages on the JVM. Decision makers are wary of anything that isn't officially supported by Oracle. There are other problems with languages like Scala and Clojure that have nothing to do with official support, but that's another story.
The mono story is an interesting one. At first people thought it would allow cheap deployments of ASP.NET on Linux servers, but it's really carved out a niche for itself on the linux desktop, in gaming (Unity, Sony's dev kits), and now mobile. What's funny is the JVM is completely irrelevant on mobile, compared to .NET/Mono. Just now Oracle is pulling their heads out of their asses and trying to get the JVM to work on iOS.