I didn't order those, but rather this one: pn 5012k83 which does indeed fit my new cool shirt. You don't really need to get the male fittings unless you want a fancy dry break on the cooler too. The shirt is equipped w/ two male fittings, so your DIY tubing/cooler setup just requires the two female fittings.
5012k83 has a 7/16th socket inside diameter which I believe is what matches the shirt fittings/connectors. Also, as compared to IgnoranteWest's male connector: 5923K44, the one I bought has a stainless steel latch (not acetal) and the latch is shielded which will help against accidental disconnects. It's only 0.50 cents more.
Speedycop/NSF Racing /Pinewood Dirtbags
'10 Summit, CMP3, Autobahn, '11 CMP1, NJMP, CMP2, Summit, G'man, Stafford, Charlotte, Autobahn, ECR '12 CMP1, NJMP, G'man, NHMS1, Summit, CMP2, NHMS2, ECR, '13 CMP1, ECR, Summit, NJMP, THill, CMP2, MSR, NHMS, Sears '14 Barber, Sears1, ECR, CMP1, NJMP1, BWillow, Sebring, CMP2, THill, Sears2, '15 Sears1, Barber, Ridge, THill, '16 Sears1