Hi OP I used to do SS assessments.
re-enablement is often offered as a first step. It gives time to assess your dads abilities/not/see if any adaptations can help and usually isn't charged for. It's better than getting a care server ex to start with as usually there are lots of different professionals in the team e.g. Physiology/occupational therapist/pharmacist as well as care worker. I'd take whatever they are offering to start with- foot in the door IYSWIM. Then after 4-6 weeks there is usually a review to see where to go next. Sometimes a re-ablement service is increased/decreased during that period so don't think that half an out is a final decision!
But to be honest if they've been out, seen what the situation is you are perfectly entitled to phone up and say, "I've got to go home" and don't accept any persuading otherwise. It's ok to say "no, I need to go home".
If your dad is not safe by himself they will sort him out with somewhere temporarily. If he needs a few visits a day, again, they will sort that out too.
If however, your dad wants someone around all the time, or wants to go to a home but doesn't 'need' it they would be unlikely to organise that. The threshold is quite high for 24hr care i.e. The person is unsafe on their own.
Re funding- if your dad 'needs' 24 care so goes into a home, once house money gets to around £22k social services would contribute. If he stays in his home, he wouldn't have to sell the house to pay for his care. He'd be assessed for care costs according to his income. It is not expected that family pay for it!