I've RTFT
Parents may be entitled to for an assessment of needs for care and support and a carers assessment under the Care Act 2014, if they appear that they may meet 3 part criteria for eligibility 1.need, 2.outcome and 3. wellbeing criteria lists. So the LA call taker will screen if likely to be eligible and signpost if not.
From carers assessment, a limited amount of Carers services might not be chargeable, so if dad can't be left alone at all even for an hour due to high risks from his dementia (such as burning things, wandering out getting lost looking for mum) , then a carers assessment might lead to some type of carers service/ take a break service of a few hours a week.
If dad has needs for care and support- his care will be chargeable, which is why you don't actually need the social care assessment if you can arrange and he can pay for care as a self funder (over £23,250 threshold). So the LA will signpost you to websites of lists of care agencies and other services. Have a look on those.
Post covid- social care and NHS services are overwhelmed & have increasingly long waiting lists, so someone who could arrange something privately is not in same life or limb crisis as others with far higher needs, who are without supportive family nor resources.
Yes you can have a social care assessment report to tell you what care to arrange but as a sensible family you could do that yourselves and quickly without waiting unnecessarily.
You'll have MNers talking about your entitlement to a Care Act 2014 assessment on here (as I have done) but IRL social care and NHS are trying to juggle keeping the most high needs people alive and safe and are working flat out and long hours. So whether you're entitled to assessment one or not that you, they are screening those who are most urgent and asking or you really urgently need one right now rather than just 'would like' one or may need one in the future.
When you are self funder you pay full cost of your care and also extra brokerage fees, and still get told what care you'll have , by whom and when- so as a family you'd be more in control if you privately arrange the care support for what may be similar cost