I'll throw a wrinkle at you
. I don't recall the source - it might have been in Pant, or in the old catalog about Akbar's weapons, I'm sure it's in one of the older threads here - but it seems that the naming connection is actually the other way around. What we known as "katar" is actually called "jamadhar" and the "katar" bit was erroneously attributed to the wrong knife type. Both knives were in the same drawing palte.
A quick search reveals that "katar" is a derivative of "kutarni" which means knife in Hindi. I think someone mentioned this in the old threads.
So "jamdhar katari" would be a knife of jamdhar type, not a jamdhar of katar type. Either way, "katari" refers to the blade, not the specific handle type.
Note than "jamadar" was a military rank. While it was a minor rank in modern times, I recall reading it was closer to the rank of captain in pre-colonial times.
Just some more thoughts...