Datasheets only give you worst case current, which is across individual products, time and test conditions. They say 30A, then you can be sure that a 30A PSU won't blow up in any case, unless the motor sees reverse torque, which generates negative EMF.
To address your question, if you measured 5R, then without reverse torque, you will not get more than 2.4A at 12V. If stall resistance is 5R, then you should return the motor as it is a fake.
If this is worst case, does this imply I can drive the motor at this worse case for long periods? If not, how long is acceptable? I measured the resistance between the input terminals while the motor was off with a basic $40 multi meter, I'm guessing I may need something that gives a more accurate reading, or was I attempting to measure resistance incorrectly?