The value of 0.01 degrees RMS for instrument noise is quite small. I believe that number comes from the manufacturer, based on a model eye. Do you have an estimate of the performance with a human eye?

I am unfamiliar with "peak to trough" contrast, usually we express it as peak to mean (Weber) or peak-trough / peak + trough (Michelson). Is 40% peak to trough the same as 20% Michelson? ((the answer is Yes, see below))

The text says it flipped from zero to 360: apparently that's a typo. Was it 0 to 180 (a sign flip) or 0 to 90 (an orientation flip)? ((See McCamy's answer below. I misunderstood the description, the orientation could have any value.))

I've noticed a bright fixation spot sometimes can cause aversion responses, like square wave jerks. For some people, a bright spot also produces noticeable flares that might have interfered with the target. I was wondering if your spot was bright enough to cause either of those? ((Apparently not, see answer below)).