I also think that the average person doesn't understand what research really entails.
People as a whole struggle with the concept of unknown or unproven facts. They need things to be black or white. They seek reassurance in the worlds of research and the law.
These two disciplines can only attempt to get as close as possible to 'the truth' without ever fully getting to it. Even the most regulated discipline, pharmaceutical science, gets it wrong at times, with horrible consequences.
Research is just a science that use a process of demonstration. This is why you can have two valid researches, working on the same or very similar hypotheses, coming up with different outcomes.
We can only seek to get as close as possible to what we consider to the truth. This is done by the demonstration of quality and quantity.
In the case of the prosecution, the quality is what is mainly questioned. The quantity of evidence out forward isn't though. So many oddities that alone might be almost meaningless but out all together start to reduce the chances of coincidence drastically.
The defense does exactly this, encourage the jury and the public to look at these oddities separately to make a case for insignificance.
As for the quality, well it comes down to the battle of research. Researchers kick is to try to get closer to the truth than their colleagues. It's an extremely competitive profession, and getting closer to the truth does involve discrediting other research.