I 100% agree with the strategy of giving Choice A or Choice B and that's it. If both are rejected, then you are not dealing with someone capable of making decisions in their own best interests. There are 2 people, so this might be doubly expensive and a lot of management since most care agencies may treat them as separate individuals and not 2-for-1 (at least that's how it is in the case of my 2 elderly aunts whose care I manage).
I sense this is happening in a country other than the US, so I don't know where one takes the next step, but I'm sure there is one. Here in the US we'd either pursue guardianship through the courts or contact Social Services who would eventually secure guardianship and then manage all their care and decisions going forward.
My dad desperately didn’t want anyone to come into his home. We told him his only choices were to move to assisted living or to have a helper in his home. In truth we had no real power to force either as he was of sound mind. But he believed us and I hired a wonderful helper who soon won him over. Frame it as there being no other choices and a good caregiver will have the experience to make him/herself indispensable and valued
I would frame it like this: Either they move into a facility and have to give up everything familiar as well as accept the help of many strangers, or they remain in their familiar setting and accept the help of a few - and those are the only choices.
I sense this is happening in a country other than the US, so I don't know where one takes the next step, but I'm sure there is one. Here in the US we'd either pursue guardianship through the courts or contact Social Services who would eventually secure guardianship and then manage all their care and decisions going forward.