It's a good summary - thanks for posting.
A couple of points to note - big difference between the evidence where it's been possible to study vaccine efficacy against a variant (e.g. with the Delta variant) and where we're limited to test tube studies (e.g. the Gamma variant), but fortunately the latter isn't significant in the UK.
Secondly, where it states that against the Delta variant, the vaccine is only 33% effective - it means against stopping symptomatic disease. This is bad news as far as transmission goes, because the two tend to go hand-in-hand. If you can get sick enough to show symptoms, you are likely to be contagious....
BUT - it doesn't mean that you have only 33% protection against serious illness! It means that your vaccinated immune system will be slower at stopping this variant than the Alpha variant, so symptoms show before you can eliminate it, BUT a slower response can still result in high protection against serious illness. We don't have full data yet, but anencdotally, from hospital admissions, it's clear that the bulk of them are totally unvaccinated people.
In short, if you're under 50, there's no real need to panic about getting that second jab done.