Presumably there is a Project Manager at FamilySearch who oversees the indexing, that person has a supervisor, and so on.... Someone must know. On the other hand, it doesn't follow that other public-facing people at FamilySearch, even FamilySearch support, have access to those people or that information. I am reminded of a software project I was involved with once, where the developer's answer to 'when will [the new version] be available?' was always "when it's ready".
The person I would ask, who might know who within FamilySearch would know, or be able to ask someone who could ask someone, etc: The Ancestry Insider. I see that today's post is Some FamilySearch Indexing Stats which he has extracted from the November issue of the FamilySearch Indexing Newsletter.
Looking at the newsletter, I see that The Ancestry Insider has simply copied the numbers at the bottom of the page, rather than extracting them from a larger article. However it may be worth it to shoot him an email to see what he says.
I see also three links at the bottom:
This page has been replaced by the "Projects in Need" list here and is
not current.
Project Completion Percentages April 8, 2013
The link "Projects in Need" takes one back to the "Current Projects" page.
While I understand and share your frustration, the thing that bothers me is that when I click through to US, New York, New York—Passenger Lists, 1942–1957 [Part F] it says:
Description and Characteristics
- This project is to index passenger lists for the port of Maryland.
Port of Maryland? Say what?
P.S. the NYG&B website notes:
September 5, 2013 FamilySearch.com has added more indexed records to
its New York Passenger and Crew Lists, 1925–1942. All recent additions
to FamilySearch, both indexes and browseable images, can be found at
https://www.familysearch.org/node/2340
Clicking through:
Added indexed records to an existing collection. (50,172 indexed records 0 digital
images)
New York, New York Passenger and Crew Lists, 1909-1957
Description
Images of passenger arrivals in New York Harbor, corresponding to NARA
microfilm publication T715: Passenger and Crew Lists of Vessels
Arriving at New York, New York, 1897-1957. Additional records will be
added as they are completed.
So while it might be possible to learn the size of the entire collection by going to the catalog at NARA, that still doesn't answer the original question. Argh. Seeing how many microfilm rolls exist for the date range might be a clue, if the parts are numbered starting with A, but that's a wild-assed-guess.