Just a brief diversion into why the vaxxed keep wanting more people vaxxed. I'm going to (over) simplify the actual maths modelling dramatically but hopefully it will still make sense.
Disclaimer: Anyone who knows the epidemiology should exit now as you'll find my attempt to simplify it infuriating
First: let's assume that an infected person (on average) can spread it to two people. It could be more depending on your work and your social life, it could be less of you work from home, live alone, are cautious when you go out etc. But averages are just that, averages.
Second: let's assume the current worst case results reported on vaccine effectiveness. These suggest it could be around 50% effective at stopping you getting infected (to a level where you test positive on a PCR).
In unvaxxed land:
1 infects 2 (after about 10 days)
2 infects 4 (after about 20 days)
4 infects 8 (after about 30 days)
"R rate = 2" - actually if everyone was behaving completely like the old normal R would be closer to 6, and the cases stemming from that first person would be in their hundreds. But in the UK at least we're not really back to behaving as we did.
In vaxxed land:
1 infects 1(after about 10 days)
1 infects 1 (after about 20 days)
1 infects 1 (after about 30 days)
"R rate = 1" - actually it is probably better than this because the evidence is building that the infected but vaxxed are less likely to be infectious.
Stir the vaxxed and unvaxxed together and the maths gets complicated, and you have to make a lot of allowances for how much mixing happens between different groups of people. What's currently happening in the UK is that the R rate nationally is just above R=1 - cases are growing slowly by about 10% per week.
Some events (with mostly unvaxxed attendees and lots of close proximity like overnight tent parties, squashed on the shuttle bus, sharing supplies) are tripping big surges. Others (like mostly vaxxed football crowds) currently aren't.
The maths for the UK is currently "just about getting away with it" in terms of hospitalisations etc, but can easily turn nasty as people start to mix more for work or leisure. Basically the more people who are vaxxed the safer everyone becomes. The odds of meeting someone infectious will reduce, which means the fewer of the vulnerable (vaxxed or not) will catch it, and there will be less illness around and fewer deaths.