Prologue: this suggestion puzzled me, but it's right: in 2016.0 (what I'm using) you can't point a Directory and File Reader at a zip file. You can with a FeatureReader though. Now read on!
I'm retrieving the file properties out of a zip file with a FeatureReader with format 'Directory and File Pathnames' and 'retrieve file properties:' set to Yes. Workspace attached, .
The file name and file size comes back correct, but all the dates, path_accessed_date, path_created_date and path_modified_date, get set to now. I think FME should be returning the dates the files have inside the zip.
P.S. It looks like FME is actually unzipping the files to get at the info:
path_windows (string) = d:\\temp\\ea_admin_boundaries.zip_1481293489605_5384\\AREAPF_EA_NE_010K_V1_3.shx
...which explains the dates. Still not the right output to give, though, IMNSHO.