Sure learning Linux will most likely teach you something about the platform on which anything you write will probably be deployed but that's really marginal (IMHO).
You get things done (programming included) by getting all the roadblocks out of your way. Linux is (IMHO) a roadblock. The OP claims it teaches you researching skills by giving you problems everyday you need to find solutions for. This is true in the same way that refusing to buy food of any kind teaches self-sufficiency.
To get things done you need to get in the zone. This means eliminating distractions. Trying to figure out why copy and paste doesn't work (and it turns out that it's because you're using OpenJDK instead of the Sun JDK) very much takes you out of that zone and then wastes time to boot.
This might be more useful later on (maybe) but learning to programming? No way.
To me, the best development platform is OSX. Why? Because it's (BSD) UNIX that is a pleasure to use that (mostly) doesn't have the aforementioned problems. My only real beef is that if you're used to using a program on Linux or Windows the keyboard shortcuts will generally be different on OSX (due to following the OSX conventions).
And as much as people (myself included) like to rag on Windows (in my case: the complexity), the fact is that modern Windows (Win7) is actually a pretty pleasant experience. Some things (eg git) suck but Cygwin can ameliorate a lot of those problems.