One of the problems is exactly what you say here -- the "problem" 7D2's speak with a very loud voice, and generally just a happy peep out of the 'good' 7D2's.
That factor has an effect on how people perceive the 7D2 and its focus issues. I was one of the 'lucky' buyers (maybe?) ... and have no issues at all. And I suspect many others on POTN find the same thing.
PLUS, we are on a photo forum and a whole lot of 7D2 buyers are not ... hard to make a case for 'a bad camera' as so many state, because we probably have a minority of the whole buyer market here.
But, it seems lots of 7D2 owners on POTN don't have issues, or have issues unrelated to the technology, but rather with the learning curve for the 7D2 - a pretty sophisticated piece of gear.
Back to the OP question: I have both 7D2 and 5DM3 ... both shoot birding well, but if I were choosing a camera, and birding was my main goal, I'd come down on the side of 7D2 - and primarily because both will track those birds and target very fast, but the crop factor will gain distance. It remains a tough choice and you won't go wrong with either one, and may come down to which lens you choose. If I was shooting birds AND a lot of general photography as well, then the 5DM3 will give you more all around flexibility. And, very tough to beat the IQ on the 5DM3 ... Hmmm, guess this post didn't help you much, did it? Except I'd worry less about the 7D2 focus complaints, and choose based on other factors, if that helps.