This said, it is still a shoddy use of statistics. "1 in 1000 uninsured people die each year" by itself tells us pretty much nothing. What is the rate of death for insured people?
Wikipedia tells me that 8.39 in 1000 people die in America every year, so if uninsured people are only dying at a rate of 1 in 1000 every year, it seems to me that either it is beneficial to be uninsured, or uninsured people are not representative of the population (perhaps because many of them are young and healthy?).
I suspect that what is going on is this person actually meant to say something along the lines of "1 in 1000 people die every year in ways that could have been prevented if they had insurance" A subtle but important difference. The actual mortality rate of uninsured people is most likely much higher than 1 in 1000, but the deaths of uninsured people in motorcycle accidents would not be counted in that "1 in 1000" figure.
Either way, it is shoddy.