While the UT61E is generally a good meter, Uni-Trend made two mistakes for uA measurement:
While making uA current measurements they have a series resistance of 999 ohms--that's too high!
They have two diodes in a reverse direction connected across that series resistor-- that causes the series resistance to change based on the current/meter's voltage drop.
Measuring current accuracy using a current source is nice, and the UT61E will give accurate readings of a current source. However, most of the time I'm measuring the current with a short term fixed voltage connected to an unknown value fixed resistance. Adding a 999 ohm resistor in series when the meter is being used will make the measured value inaccurate. Worse, when those shunt diodes start to conduct across that series resistor, the value of that resistance will go down. I measured that UT61E resistance to vary from 424 to 1,000 ohms depending on the current and therefore voltage drop across the meter. So, you can't accurately account for the series resistance that you are adding because it will change based on how well those diodes conduct!
Due to the two problems in the meter's design I measured it to display a uA reading 5 - 10% low compared to the actual current without the meter being inserted. That compares to the measured current source accuracy for 166 - 2000 uA typically being 0.1% or under.
mA readings just add 9 ohms resistance and only 0.01 ohms for A input readings. While there are diodes involved with those resistors as well, I haven't seen them conduct or significantly change those series resistances.
ALL meter reviews should include measuring the meter's series resistance while in the current mode. Good accuracy while measuring a current source is meaningless for me if it has a large series resistance while it's being inserted!