> That data absolutely does show an increase in deaths
Please be careful about removing the word 'excess' here. The word 'excess' is important, as it implies statistical significance (and is commonly understood to mean that - https://en.wikipedia.org/wiki/Excess_mortality).
I didn't argue that there was no change in the number of deaths, and I did not say that the table does not show any change in the number of deaths.
If your contention is that the sample size is too small, we can actually look at the full population data: https://en.wikipedia.org/wiki/Motor_vehicle_fatality_rate_in...
Notably, although 2002 had a higher number of fatalities, the number of miles traveled by road also increases. However, it represents a continuation of a growing trend since 1980 which continued until 2007, rather than being an exceptional increase in distance travelled.
Also, while 2002 was the worst year since 1990 for total fatalities, 2005 was worse.
Fatalities per 100 000 population in 2002 was 14.93, which was around a 1% worsening from the previous year. But 2002 does not really stand out, similar worsenings happened in 1988, 1993, 1994, 1995, 2005, 2012, 2015, and 2016 (to varying degrees).
One other observation is that in 2000, there was a population increase of 10 million (from 272 million to 282 million), while other years on either side are pretty consistently around 3 million. I'm not sure why this is the case, but if there's a change in the denominator in the previous year, this is also interesting if we're making a comparison (e.g. maybe the birth rate was much higher due to parents wanting 'millenial babies', none of whom are driving and so less likely to be killed in a crash, again, just a random thought, not a real argument from my side that I would try to defend).
The reason 'statistical significance' is important is because it allows us to look at it and say 'is there a specific reason for this, or is this within the bounds of what we would expect to see given normal variation?'. The data don't support a conclusion that there's anything special about 2001/2 that caused the variation.