Compare this assessment (5/31/2018):
Thus, the data suggests that the hurricane accelerated the deaths of ill and dying people, rather than killing them outright. I would expect the excess deaths at a year horizon (through, say, Oct. 1, 2018) to total perhaps 200-400. Still a notable number, but certainly not 4,600.
With a contemporaneous prediction:
From the survey data, we estimated a mortality rate of 14.3 deaths (95% confidence interval [CI], 9.8 to 18.9) per 1000 persons from September 20 through December 31, 2017. This rate yielded a total of 4645 excess deaths during this period (95% CI, 793 to 8498), equivalent to a 62% increase in the mortality rate as compared with the same period in 2016.