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FWIW, the large majority of my pictures have been of my 16 month old, and I've had no real issues with the RX1's AF. If you stop the camera down quite a bit to match the depth of field of the smaller sensors, the focus issues are even less.
RX1 focus is always surprisingly spot on, even wide open. I've been nothing less than thrilled with how accurate its proven to be, and certainly stopped down a bit you can work with a zone focus method that works great because the RX1 has next to zero shutter lag (a point few seem to mention)
At the same time, I think its still a bit of a more contemplative style camera. I've actually used it for some sports images, and it worked great, but, I used it in a much different manner than a Nikon D3s.
Its basically the difference in responding to the action vs planning a shot. When I'm going after a photo of a deeply thrown pass, I don't know where in the field its going, I pretty much sit in the back of the endzone with a long lenses, and when I see the ball is up in the air, find the receiver and motor drive the heck out of it. That's pretty reactive shooting, with a fair bit of experience knowing which might be a favorite target of the QB and such...
On the other hand, if I happen to see the sun in setting low on one side of the field for a HS Friday night game, and there is some nice color in the sky, I might get the idea to get a silhouette type shot of a kid getting taped up on the bench or something, or the guys all standing along the sidelines holding their helmets. I envision an idea and go looking for the right subject to make it happen.
That in a nutshell is sort of two different approaches I see to photography, at least in my style. You could say its the difference from a street shooter sitting and waiting for someone to pass a certain spot, or merely walking down the street and shooting stuff as it happens.
V1 is fantastic at the first, RX1 is excellent at the later examples. Doesn't mean they can't be used in other ways, but for me, the way I shot, and sometimes even what I shoot, is dictated by the tool I have in hand.