I've seen countless putts in the 10 -12 foot range that had a severe break in the beginning and a much slower break towards the cup, and on first impact, the ball takes that first break rather quickly (looks like the ball goes off the putter face immediately left or right) then never recovers for the second break.
Using the new mulligan feature in practice mode I played with that some and what I found was the initial break makes the ball take an entirely different direction based on that initial break and sometimes it puts the ball into a part of the green where the dots completely change.
Having said that, IRL, the initial speed of the ball off the putter usually overpowers that first break, but then again, this isn't IRL golf.
What really gets me is the green where the ball is 6' from the pin, dots moving like crazy right to left, you compensate with the target and the putt doesn't break at all....totally frustrating.