I just asked Villarroel for her take on the Greiner paper, and this is what she wrote (translated from Swedish):
"The original photographic plate containing the nine transients has actually been examined recently, and the objects are there and look exactly as they do in the digital images. How does one distinguish between defects and transients? First, one uses so-called brightness profiles to differentiate between round objects and astronomical objects. Today, we also have capabilities that Greiner et al. did not have in their time, thanks to digitized images and powerful computers. They had to work with individual objects, whereas we can now analyze hundreds of thousands of them and compare the results with physical models, in the same way that is done in modern physics experiments and was done in the discovery of the Higgs boson. The key is to study statistical patterns rather than individual data points.
Greiner's star-like plate defects have no reason to correlate with nuclear weapons tests, anticorrelate with the geomagnetic storm index, and absolutely no reason to avoid the Earth's shadow (which changes position over time). The avoidance of the Earth's shadow can only be explained by the fact that at least one-third of the light flashes arise as a result of Earth reflections. A great deal happens in the world of physics, and much can change over the course of 35 years."
It's not really a thorough answer, and I don't quite follow the logic. She first claims that a physical examination of the plate has confirmed that "the objects are there and look exactly as they do in the digital images," but then she goes on to argue based on correlations with nuclear tests and the objects "avoiding the Earth's shadow." If someone has genuinely been able to confirm, using scientific methods, that these are not flaws in the plates, then we don't really need to argue about those other points. The physical evidence alone would be sufficient to confirm that we're looking at something other than just simple defects on the plates. But if this has indeed been confirmed, why hasn't a report detailing those findings been published? I asked her who conducted this investigation and how it was carried out, but I haven't received an answer yet.