When we first set up the NYSDOT Milepoint ALRS in Roads and Highways years ago, we explicitly set the X and Y tolerance and resolution using standards we used elsewhere in the NYSDOT GIS environment and the M (measure) tolerance was set automatically as shown below. Our assumption at the time was the measure tolerance had been set to the most appropriate value based on the desired X/Y tolerance. While that is true, I do not believe this M Tolerance (0.000000621369949 miles) is compatible with our Measure Precision of 7.
Since our Milepoint ALRS has been in production, we have seen unsettling issues with tiny mismatches in length between centerline (geometric) length, route end measure and event end measures.