I believe the NY State 1915 Census is listed in the system as the NY 1905 Census.
This is an example page link to the 1915 NY Census, but it is listed as the 1905 NY census:
Unfortunately it appears that both 1905 and 1915 New York Census records may be in the collection.
Using the link, that you provided, for Lewis J Brosman; I found both 1905 and 1915 records on the film. Although poorly demarcated, the film actually has 2 items. Item 1, starting at the beginning of the film, is 1905 census records; and , item 2, starting at image 380, is the 1915 census records.
It appears that the Collection title is misleading. I will report this problem so that, upon review, the collection will better reflect (either in the title or in the Wiki description) what records it contains.0
@Mike357 The images for the 1905 and 1915 NYS censuses are not viewable from home. And the URLs for many EDs, if not all, are incorrect, with links to the page(s) in 1905 described as 1915. We've had other threads on this topic.0
@Mike357 Here's one of the other threads on this topic. https://community.familysearch.org/en/discussion/comment/432511#Comment_4325110
Here is the record identified as the 1905 NYS census for Lewis Brosman, from Ancestry, the source of the index. Page is clearly marked as the 1915 census:
And indexed as the 1915 census for the same Brosman family is the same page:
Since Ancestry is the source of the index, the problem needs to be reported to Ancestry.1