You don't have to be convinced, this is about what the official rule is. The FAQ and the Sage and the errata are all around to clarify or correct things that is either printed wrong or disputed interpretation-wise. The FAQ, the Sage, and the errata all trump the RAW because, you know, typos happen. Sometimes there is a mistake in the RAW that isn't caught, or maybe that the designers understand but they don't realize some select readers won't understand. That's where the FAQ, the Sage, and the errata come in. The errata is for flat-out mistakes. The Sage is there is clarify things where the RAW may say something that is clear to the designers but is written in a way that some would say is incorrect if viewed a certain way, as some of you have done here. The FAQ tries to cover any other questions that arise. Since they all come from the original source (the designers), that is why their word trumps the RAW in all cases. Even then, you're in the minority in thinking the RAW don't allow the monk to take the feat, because I (and many others) see what the designers are saying and aren't confused in the least by it. What makes us right is that one of the designers personally validated our view on it and clarified it in an official way that leaves absolutely no room for dispute over the official rule.
If the fighter has Dex 13 and Dodge as well, then yes, he could then take Spring Attack, no doubt about it.