"Paleo is a low-carb diet."
What are you eating and calling it "paleo"? Practically every meal I have ends with citrus / berries / apples / bananas / etc. Sometimes for breakfast we'll have some sliced up apples, that's 30 or so grams of carbs right there. Sometimes an afternoon snack is just a banana or a handful of grapes.
At a typical Atkins level of 20 grams carb per day, I'd be screwed by the time I'm done eating two apples for breakfast, and I've still got the rest of the day to go.
I don't think I'm unusual in that I paleo it around maybe 4 parts veg, 4 part fruit, 1 part meat, and maybe 1 part nuts and "other (possibly non-paleo) stuff" on a very long term average. I don't think its physically possible to low carb if you eat about four times as much fruit as meat. Its not so much that I eat huge amounts of fruit, its that I don't eat so much meat. I ate a 24 oz steak once and literally felt sick, don't know if it was the massive fat content or some kind of protein overdose or just too much in the belly. Lots more filet mignon than t-bone, that kind of thing. I tend toward larger fraction of fruit for breakfast (aka two pieces of fruit per breakfast), larger fraction of veg for lunch (aka salad bar almost every day) and larger fraction of meat for dinner and a chunk of fruit before bedtime. Individual days vary, this is just average.