In general, I find it to be the simpler explanation to only rely on a lunar month than to need both a solar calendar and a lunar month.
The winter and summer solstices, I feel, are much more observable than the spring and fall equinoxes. The solstice represents a change in direction of the sunrise and sunsets as they traverse the horizon. The equinoxes are merely the halfway points between the two and there does not seem to be any unique characteristic associated with the point. Determining the equinox would require the counting of days and this appears to be lacking in the cave paintings.
The paper, as I recall, does address both the points of the dots representing days and of the starting point being midwinter. Calibration in lunar months does not align with the proposal of breeding cycles. I suspect that using the spring equinox as the starting point would show the same lack of alignment.
I agree that the paper makes some rather large, unsupported assumptions. I am especially concerned by the assumption that a group that relied on drawings of animals would also have an abstract symbol, Y, to represent birth. And though statistical correlation does not constitute proof, I also note that it fails to disprove the hypothesis. And failure to disprove is usually the best one can expect from scientific theories.