kamcm, I received your PM regarding your question, as I own U1213A.
1st, I'm not an expert, but I do own few well known meters, like Agilent U1213A and also Fluke 287s and 87V.
Also I happened to read a lot of RMS converter ICs and tecnologies, as I understand it, RMS converter is tricky business. Not like measuring DC, it's accuracy is not linear from bottom range to the top of the range, the "best" accuracy is sort of starting from 20% up to 80% of the range, and a lot of other variations, point is the two corners (lowest and highest) in the range are not the best spot to get the accuracy. CMIIW.
Regarding the autozero, I don't think thats a problem, this clamp meter like others, are not designed to measure low current, so those offset actually will fall within the spec. Yes, mine have similar sympton, but not as high offset as yours.
Here, a quote from the U1212A's specification, as you can see its valid only from 5% up to 100%.
If you still doubting it's accuracy, you can verify it as I did when I was confuse like you for the 1st time, I used the clamp meter, and then put another non clamp meter in series with the measured cable to verify the AC RMS current, and my U1213A actually performs better than it's specification.
Also with my limited experience, actually when a meter in RMS mode (either in current or voltage mode), when not connected, since I already get used to see they will flicker, and if its not, I feel like the meter is doing some cheating internally to zero them out, not sure, any experts correct me if I'm wrong.
Thats all I can say, and I agree with Wytnucls's comments.
Hope this helps.