Cubes are very susceptible to disturbance. 3"x6" cylinders offer better consistency in results.
One other issue you have is that non-shrink grouts achieve their lack of shrinkage (which is inherent to portland cement products) through admixtures that cause slight expansion. In place, non-shrink grouts are usually very confined. When tested, they are removed from the cube molds and can actually expand with time (very slight expansion, but sometimes enough to cause microcracking) as hydration and chemical expansion reactions occur. At 3 days they have had little time to expand. At 7 days in an unconfined state, they have likely expanded a bit more and it can continue through full curing.
To provide a better correlation with strength gain, leave the cubes in their molds until just before testing. Let us know your results. Also, if you want to carry this further, do a petrographic analysis of the cubes when unconfined to look for microcracking.