I need to find out how they move from those scores to an overall decision - if he's borderline, arguing that two scores should be higher might tip it, if he's a long way below, then an appeal isn't going to be worth it.
The final decision is based on the nature of the needs, the complexity of the needs, the unpredictability of the needs and the intensity of the needs described in the 12 information gathering domains.
Essentially CHC is there to fund care needs that are so overwhelmingly medical that they are beyond the scope of social care. So for example someone requiring daily input from qualified staff to dress and manage non healing pressure sores would be beyond the normal remit of social care workers, a nurse would most likely be needed.
Someone displaying dementia behaviours so aggressive that they were requiring very regular input from a registered mental health professional (e.g to adjust medication/ use sedation) would be beyond the remit of social care.
Someone with a complex medication routine e.g requiring titration or covert administration of meds would in most circumstances be beyond the remit of social care workers.
If you have enough needs that are so complex/intense/unpredictable that more often than not they require specialist (for example sometimes family members can be trained to do some stuff careworkers would be allowed to do) or medical input on a regular basis, it would suggest eligibility for CHC.
With mainly lows and moderates it's likely he is nowhere near the tipping point into CHC. It's probably why they proceeded without the social worker because they suspected it wouldn't be a contentious decision.
You can still appeal that the process wasn't completed correctly but all they will do is repeat it with a social worker and presumably come to the same decision?
Also, yes, activities of daily living mean the basics required e.g washing/dressing/preparing a meal. The activities you have described would be 'social activities'.