@taoeffect They had a section about that on the results page—basically, order does matter but only a bit: https://implicit.harvard.edu/implicit/faqs.html#faq6
"One very common question is about the order of the parts of the IAT. The answer is yes, the order in which you take the test can influence on your overall results. But, the effect is very small."
I don't usually have a lot of hope, but I'd hope that they'd control for this obvious issue and I was glad they had.