Also, the CEO purchased a whole bunch of shares before the report and again after the report. He is probably well positioned to know GE fairly well. It's not a necessary move on his part but it does signal some confidence in GE. Also, having watched him, I can see some inflection points. If you were to graph "sentiment" of news for GE for the past couple of years, it would be kind of a parabola: lots of negatives, then less negative, then it's mixed, and now it's more of "not good enough" (although today was a hugely negative one).
In the end it's still a gamble. I'm not betting the house on it -- it's in fact a tiny percentage of my portfolio (I generally stick with index funds) but sometimes I like to keep myself honest by putting some skin in the game along with my opinions.
Couldn't this be seen as a PR move to do damage mitigation and earn market confidence? As you mentioned that it's an opaque company accounting-wise it'd be hard to evaluate this objectively but the CEO of a possibly fraudulent company buying stocks to earn the market confidence seems to be a very low price to avoid the possible side-effects if the allegations are true.