You may be right, but what do you mean by “consistently translated as {pIraqSIS} elsewhere”? The only example I know of is from Klingon Monopoly:
pIraqSIS HoS waw' ghajlu'chugh, loSlogh boq'egh mI' naghmey mI'; chen qav'ap
If Praxis Energy Facility is owned, rent is 4 times amount shown on dice. (MKE)
FYI the paq’batlh example is:
pIraQSIS maS bIngDaq pIgh rur SaqSub chIm choSlu’pu’bogh
The Saq'sub lay empty and desolate under the Praxis moon. (PB)