Tbh the prostitution yes/no argument is one different people will have different opinions on and as I said upthread probably not appropriate in a care home anyway.
It's a head in sand stance to take to imagine you'll ever get rid of prostitution as a whole. The more you try to stamp it out, the more consenting women will leave, driving it further underground so the only people participating are men with money who aren't afraid to go to prison and women who don't have a choice. Regulating and normalising are the safest routes. If prostitutes are respected, they have more safety.
Regarding do it for free, I am- as I said upthread, I was a pro sub. Now I'm in two d/s relationships. But ironically, my older boyfriend, the one in his mid 60s, was one of the reasons I stopped playing for cash.
Anyway. This prostitutes in care homes essentially boils down to one's own view of prostitution. I don't think it is some vast, alien, pitiable concept because I've been there. I know women are exploited, but I don't think the solution is to make it more illegal. If it were opened up, the only women involved would be ones through choice, and ones who weren't would be guaranteed more chances of being heard, believed and helped. And none of them would be hired for clients by care workers because that still wouldn't be appropriate.