People are pushed into applying for and accepting care work because they are sanctioned if not, and employers are taking them because they care very little for the residents they're getting paid to provide care for and they just need the hours filled, and even then it's the bare minimum staffing they can get away with.
You are pushing a certain view of care homes, which may be your experience of where you have worked; but not all are like that.
Ime, the ones run by charities do care for the residents, because they are not running a business and there is no profit motive. DD is in a care home, where she gets 1:1 care for all her waking hours, and 1:4 at night. Other residents, because of their behaviour may get 2:1, 3:1 or even 4:1. I'd hardly call that the bare minimum staffing? Do you know how much it costs - although DD gets continuing health care funding; and those who don't, will be funded by their local authority?
Iirc, the initial training program is 17 days, and then they do shadowing for a while. However, they get back up from onsite clinical psychologists, social workers, GPs, clinical specialist nurses, mental health nurses, learning disability nurses, speech and language therapists, OTs, and physiotherapists. For instance, if DD's behaviour is getting worse, they will seek advice from the Positive Behaviour Support Team.
However, I do think care workers should be vaccinated. The rest of us have had to take a leap of faith, because we can't see any other way out of this pandemic (apart from letting it rip through the population); and if we have had to swallow any misgivings, then I don't know why anti vaxxers are more special and they put all of us at risk. As for talking about "We want control over what we put in our bodies!" - what about particulates from diesel vehicles, pollution in the air, sewage discharges into seas and rivers, nuclear power, pesticides, antibiotics in farming.....I take it you all eat organic produce?