The linked video, https://www.youtube.com/watch?v=Hc7A1bVuSJU&t=56s, is misleading. It shows that the number of unvax cases is much larger than vax cases. I hope that by know it is common knowledge that the pandemic behaves very differently between age groups. Simpson's paradox abounds. The video only breaks down vax/unvax for aggregate numbers. This is a smell.

UK publishes the vax/unvax numbers broken down by age groups. See Table 2 in https://assets.publishing.service.gov.uk/government/uploads/.... Raw numbers:

  cases between week 40 and week 43 2021
             unvax      vax   1dose
  under 18  336893      818   36000
  18-29      24097    33649    9500
  30-39      25832    71492    7800
  40-49      15717   130686    4500
  50-59       6701    99722    2000
  60-69       2484    56779     800
  70-79        917    34305     300
    ≥80        471    12339     200

1. In every age group, except under 18, the number of vax cases is larger than the number of unvax cases, contradicting the video on its face.

2. Under 18 has a large case number, which dominates the totals. Some issues:

2.1. Schools have strict testing and tracing policies. The large case numbers may simply an effect of higher testing rates for the respective population.

2.2. Related to 2.1., there are two ways to count cases: PCR cases and symptomatic cases. In case of large case numbers outliers, the difference between the two measures can explain a large difference, though it is impossible to independently verify that a consistent measure was applied for all age groups.

2.3. Vaccination in 12-17 was only recently introduced. VE decreases over time. Studies disagrees by how much. At six months time, for Pfizer I've seen 55%-75%, from a high of 90%. Closer to the vaccination event VE is higher, thus the number of vax cases is temporarily lower. A more realistic assessment assessment ought to a. break down under 18 in to 0-5, 5-11, 12-17, and wait 6 months post vaccination campaign. Note that VE is also a somewhat misleading metric, 90% means 9/10 case reduction, 50% merely 1/2; a small percentage drop in VE at the high values mean a large increase in cases.

3. In some age categories, e.g. 50-59, unvax share of the cases is as small as 6%. Not sure (*) what the unvax rate in UK is for that age group, the reports says somewhere in the low teens, that number has been contested. But 6% is low enough by itself. If that doesn't make you wonder about the official line "unvaccinated people were 6.8 times more likely to get COVID-19 than fully vaccinated people.", then nothing will ever do.

Can't speak about US data because US is, for some reason, very tight lipped when it comes to publishing basic epi data with breakdown by date, age and vax status. If you have a link to the equivalent of the UK PHE vaccine surveillance report for any US state, please share.

(*) Apparently UK is not sure about the vax rates either, because apparently UK doesn't know how many people of a given age live in the country. That is a story for another time.