Having cut threads on big and small manual lathes and big and small CNC lathes I can tell you CNC is much faster. For the diameter and length you give it would probably be faster to do a single one by CNC than doing it by hand, and this would involve handwriting the G-code for the threading.
Actually cutting 1-1/8" - 8 on a small manual lathe would be a challenge because the width of the flank is so large most small machines would have difficulty driving the cut.
CAM would not be essential to cut a thread like this. CNC lathes normally having dedicated cycles for threading which just require a few dimensions to be entered.
An open mind is a virtue...so long as all the common sense has not leaked out.