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Your sources are wrong then, because the EUA was authorized only after formal clinical trials involving over 40,000 participants for the Pfizer shot alone.
www.science.org
For the BA.4/BA.5 boosters, the companies have submitted animal data. They have not released those data publicly, although at the June FDA meeting, Pfizer presented preliminary findings in
eight mice given BA.4/BA.5 vaccines as their third dose. Compared with the mice that received the original vaccine as a booster, the animals showed an increased response to all Omicron variants tested: BA.1, BA.2, BA.2.12.1, BA.4, and BA.5.
The companies say clinical trials for the BA.4/BA.5 vaccines will begin next month; they need clinical data both for full approval of the vaccines—their recent submissions are only for emergency use authorization—
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the catastrophic and unscientific present EUA approval that the FDA granted to Pfizer (August–September 2022) for the new, updated bivalent vaccine (Wuhan legacy strain and BA.4/BA.5 sub-variants) booster (fifth injection) based on rodent mice data, and specifically
using eight to ten mice (not human trial data) that were examined for a few weeks.135 The troubling aspect of this was that the mice still got the virus and infections in the lungs and nostrils, and the only human data was for the BA.1 sub-variant, which is not predominant and not relevant to the existing BA.4/BA.5 sub-variant clades. My argument is that you cannot extrapolate the BA.1 human data to the BA.4/BA.5 mice data, which is what FDA has done.
The bottom line is the FDA approved the EUA to vaccinate 200 million people based on eight mice.
Alexander, Paul Elias; Heckenlively, Kent. Presidential Takedown: How Anthony Fauci, the CDC, NIH, and the WHO Conspired to Overthrow President Trump (pp. 216-217). Skyhorse. Kindle Edition.
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I posted the top link earlier. It went unread.