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First off, any finding which states, “unvaccinated people increase the risk of Covid infection among the vaccinated” tells me someone has no understanding of the Natural Immune system.

Beyond that detail, 1) Vaccines do not give immunity. The word “immunity” has no business in context of a vaccine. All vaccine benefits are short term. Only Natural Immunity provides “immunity”, which is permanent. 2) Models are not reality, but mathematical projections with various probabilities of accuracy. Key to a model’s usefulness are at least, fundamental assumptions, parameter selection, parameter values assigned, degree of comprehension of the involved sciences, and, e.g., background vetting of those involved in model decisions to insure no conflict of interest. This latter is a potential killer of model results, and it applies to this case.

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