Yes, Local Normalization definitely can kill the data or introduce data that is not "there" in reference image, we should be really careful using this tool while waiting for detailed explanation or tutorial.
As I understand it is completely depended on your imaging scale, as for what "scale" setting to put in LN. For now I created different folders for each LN scale , like LN_32,LN_64 and so on.
Using process container I created LN instances for each scale and let the container run. Then again, using the process container I created each integration for each scale and let it run, saves a lot of time on testing.
After it finished I got 9 integrations , including one that I didn't used LN at all and compared the results. Scale of 32 pixels created worse artifacts, I simply tossed it. The next scales were showing definitely an improvement over a stack using no LN.
It was like regular stacking SNR improved by 2.28 and using LN the stack's SNR improved by 2.57. The next scales, up to 256 pixels showed a reduction in SNR, 2.49, 2.47, 2.46 etc.... but they all look the same...Can't really make up my mind on what scale to use to get better result.... really stumbled....
My gut feeling tells me to use the scale that produce the best SNR improvements in a stack while keeping it artifacts free, but how can we be sure that we not introduce a false data to a stack?