Then you wrote “they ALL show 127 milli-ohms of internal resistance.”.
I had a similar experience with LiitoKala Lii-500. It showed OK values for LiIon, but almost always 45 mR for NiMH. Very rarely showed it less than 45 mR, even for brand new Eneloops.
I believe Lii-500 has either difficulties measuring Ri for NiMH, or caps the values to 45 mR. Having a limit is nothing unusual, even the fancy Xtar VP4 Plus Dragon has a 150 mOhm limit. This might be OK for lithium cells, but for NiMH I consider it way too low.
Now the question is - has your AccuPower IQ338XL a similar limit of 127 mOhm? What does it show for a brand new Eneloop?