It is possible that the cyanobacteria performing better under the k-star light is just a coincidence. It's surprises me science hasn't got a better handle on the numbers around Panspermia. If we know material from other planetary systems outside our solar system gets to Earth, surely the burning question is how much, and from how many different planetary systems?
Also, looked at the other way around, there is another question. How much Earth asteroid ejecta is getting to k-star planetary systems in our galaxy? The obvious follow-on finding is that such ejecta might easily be spreading life to such places.
I don't get your logic here either. A false negative would have zero implications for anyone. It would have no legal standing or relevance.