I would venture to say that it was not original.
The size is not consistent with the original poster or other posters which are similar from that era.
Not to mention those punch holes for hanging purposes are too perfect with no wear or tears whatsoever, nor does it have an ad back.
Heres a different example that I have in my collection from the correct era which matches the original genuine CJ poster in size from 1915.
Around 11" x 15"