Well I do believe that covers it and answers the question. I knew we had members using the other boards and have seen a few post on the subject.To be frank, the lady doth protest too much.
I've never used a "real" Arduino but have around 15 various Arduino clones (Arduini cloni?) and all of them work perfectly fine. I have Unos, Megas, Pros, Pro minis, and lots of Nanos from about 6 different manufacturers. They all work fine. The differences the Arduino people point are actually the differences between the "R3" Arduinos and prior versions. Really only a concern for specific shields. Most clones are also of the R3 version. Plus, it is open source hardware so the concept of "genuine" is kind of vague. Basically, the ATMega Arduino is a glorified breakout board for the ATMega chips - 99% of the value is in the development tools, sample/demo code, libraries and community.
Ron