What do you mean, "still"? The wooden tanks are decades old.
I'm not defending the code as written. However, there are a lot of complexities involved in retrofitting newer things to older buildings that are difficult to encapsulate in codes, hence the reason grandfathering provisions tend to be more generous than some people would like.
http://vanishingnewyork.blogspot.com/2007/09/wooden-water-ta...
(again 2007, but NYT instead of a blog)
https://www.nytimes.com/2007/06/03/nyregion/thecity/03wate.h...