That's because the R160's don't have that "glitch" - yet.
The R179's, even though they have the next stop glitch, don't have the station announcement glitch. This is evidenced by when the R179's were burn in testing on the line and they were signed up as the to Euclid, which used the 's station announcements for all of Fulton St.
The R211's do have this glitch, which is why Rector St from the was used on the , since it is the first recording in the list. Once that train reaches Queensboro, it will default back to the 's regular announcement since there's no other variation.