Some number of years ago, I looked at the map on this page and tried to find the eruv on the west side, near 14th St and a few streets below.
My conclusion was the eruv wasn't there (despite the green checkmark on the website), making this whole thing even more fun than people find it here! :)
I'm not in the city at the moment to check but they seem to take it down or shift it when there's going to be construction in an area. With the Gansevoort Pier rebuild and Little Island it wouldn't surprise me if they shifted where the wire crossed West St further South to avoid the construction.
There are limits on how much traffic can pass in and out of the boundaries of an eruv. I suspect that's why it avoids high-traffic areas like Times Square, as well as the area around Turtle Bay.
I wonder why it seems to circumvent Hells Kitchen?