The extra sources I quoted support the original preliminary contention that vaccine immunity looks like it may be decreasing over time, and that natural immunit

The extra sources I quoted support the original preliminary contention that vaccine immunity looks like it may be decreasing over time, and that natural immunity is better. Do you object specifically to the 6.72 number they calculated with the data they had? I personally wouldn't dismiss these numbers, given they are the best we have at the moment. I expect more data to come. I'm personally not surprised that natural immunity on average is better, given that not just the spike protein is targeted. I had hoped that the vaccine immunity would have lasted longer. (I still assume that vaccines will continue to be a great help along the way until covid is endemic like the several other coronaviruses in circulation.)