What leads me to that conclusion. The risk of being injured in either activity is approximately 1 injury per 1000 people every month, with an error band of 0.5 injuries per 1000 people per month.
To move them by a statistically significant amount you need to move the datum value (1) by the error value (0.5), Therefore after weighting for the number of people injured per age group, or by being drunk, or whatever other spurious subdivision you decide to throw in, these subdivisions would have to be great enough in rate and frequency to half the rate of head injury in the control group.
As subdividing the total subset up into smaller segments, means that the control group always has a greater weighting, then this would mean that you would not just have to have an incidence rate of double the mean, but a value high enough to double the risk when weighted against the size of the subset.
To make the jump to whether a helmet would be beneficial in these cases, you then need to only account for the number of injuries caused to areas that a helmet may be effective against.
Unless and until there is evidence that there is such a disproportionate risk to the other subsets that it would distort the statistical viability of the overall dataset, then there is no reason to believe that the subsets you described are statistically significant, therefore no reason not to use the overall dataset for comparison.
Again if you happen to have data to cover this then by all means post it.
This is an evaluation of the data, not an interrogation, therefore I stated quite simply that it was my belief.
Now if you believe that there are enough issues with the data from these subsets then you are free to believe so, but you haven't said that it is your belief or opinion. You have claimed that the case cannot be made and that the numbers given are a work of deception. In the case of alcohol you have stated that drinking (or even more accurately alcoholism) has an effect on whether you obtain a head injury (our little exchange about Fish and Chips).
You have presented absolutely no evidence for this or where the deception lies however (despite being asked to do so on numerous occasions).
My issue is that you have branded a researched and evidenced position deception, without giving any evidence why.