If you want to use these geo tags in HTML5 documents, the relevant definition comes from https://wiki.whatwg.org/wiki/MetaExtensions, where it says:
[…] to which the page is related
As specifications, it lists:
The expired draft (from 2007) Geographic registration of HTML documents clarifies in the section Applicability:
The geographic position given is associated with the resource described by the HTML document, not with the physical location of the document […], or the location of the company responsible for publishing or hosting the document.
The geotags.com page Geo Tag Elements clarifies in the section Notes:
The tags describe the position of the resource described on the page, for instance a beach or restaurant, not the company hosting the page, the company managing the resource, or the server hosting the page
So following the interpretation from both specifications (tl;dr): If your page is about New York, using geo tags referencing New York is appropriate.