It's as Jaymor says, if the home are asking for funding then either he's LA or CHC funded otherwise they'd be asking you for the money.
I know that 3 residents who were a fall risk had a fall and ended up in hospital, when they were ready for discharge the home did an assessment and said they wouldn't take them back without a period of one to one, the LA wouldn't fund it and they went to another home that would take them without the one to one.
I suspect another woman may go this way fairly soon as she's a huge fall risk but won't stop walking , I literally caught her as she started to fall the other day and managed to stop her hitting the floor, her next trip to A&E will probably mean that the home won't take her back as my LA don't seem to fund one to one care even if the person is "bed blocking" in an NHS hospital but that costs the NHS money not social services.
If the home think your dad needs one to one and the LA won't fund it then they could ask you or the LA to move him, they can't keep someone and just wait for an accident to happen, although that's probably what's happening to the lady in care with my wife.
"Care Homes" is a bit of a generic phrase and what some care homes will take others won't, my wife's in an EMI nursing home and she's classed as a high fall risk, several of the other residents are too and the home will take people like this but some homes won't so I'd stay onside with the home as if they feel there is no other alternative they could ask him to leave.
People on here do get one to one funding so it can happen it's just that I've never actually seen it happen I've only seen it refused, one man's daughters were literally in tears as they came to clear his room for the move as he'd been there for a while and it was local for them unlike the new home. Good luck with the funding.
K