I couldn't give two hoots if the childminder I place my DD with follows EYFS. I want my child to be in a 'second home'...that's why I would choose it over a nursery. She will be going to the childminder because I will be at work. If I were at home caring for her, I wouldn't be following the bloody EYFS, so why should she have to?
I expect, from a Childminder, due care and attention given to my child in a safe (not necessarily risk free) environment where she is comfortable and feels loved. It would be ideal for me if the childminder didn't use a TV, didn't smoke, and didn't have a dog, as these are three things I wouldn't use if I were at home with my DD, but I accept they are not 'demands'.
I would want my DD to go about the CMs daily life, as if she were a part of their family, so if the CM needed to go to the shops or the bank, DD would go with, and it would be totally normal. I do NOT think CMs should be inspected in the same way as a nursery would be, because the two provide very different styles of care, and I have made the decision to use a CM for that reason.