The estimates are just bad and not adjusted historically. Doesn't make the chart bad... just makes the data a little wonky.
There was (probably still is, despite the fact that it seems to be a lost cause) a movement to use the better methods for all purposes, but given that it would be a constitutional change and the errors benefit the already politically powerful, there is pretty much no chance of it happening any time in the foreseeable future.
OTOH, I don't know ow that that actually has anything to do with the chart at issue: there is no information on sources or methodology, just "sources of this data are coming soon". If you don't have the sources ready to cite, you have no business publishing visualizations of the supposed data.
Doesn't make the chart bad... just makes the data a little wonky.
The chart is great. It perfectly represents exactly the data in the tabular form. The data is apparently garbage though.
[edit] So I went and put "why is death rate higher in census years?" into the google search bar, and the first result is "Causes of Death - Census". I didn't actually click on the link to find out, but that title certainly sounds like the census kills people. So maybe you're right. :)