This shows up the flaws of case control studies rather well, as @srw has already mentioned. The numbers are very small. If 18% of the cyclists in the study wore helmets, you'd expect to see about 35 of them with head injuries. The reported number was 34, well within the expected standard deviation (a measure of how the numbers will vary through randomness). In other words, the raw data does not support the idea that helmets reduce head injuries. In fact, with so few data, I'd be surprised if any of the variations in this graph were statistically significant. In other words, any differences are probably due to random variation.
Worse still, having had a quick scan through the article, the figures I'm looking for (Chi-squared number, something which indicates whether the observed difference is due to chance or may actually be real) are missing. Why not - they used chi-squared analysis elsewhere? This is a very poor paper. It does not establish any benefits to helmet wearing. Quite the opposite - injury rates for both groups are rather similar: there is nothing statistically significant. Had it passed across my desk for review, I'd have rejected it.
I was always suspicious of conference papers...often an agenda. I guess this is why it's freely available on line, rather that a 30 quid fee to read.