I applied for one on behalf of my mum just before the changes came in. Her LA still allow paper forms so I was able to add a lot more info than I could when applying for my own online. I was asked to go for an assessment and was awarded one after a very short walking test and answering some questions about how I manage various tasks. Mum is still waiting but I've been told we should hear in a week or two.
I stressed the physical needs of her dementia on the worst possible day - risk of falls on uneven pavements and kerbs, using people as a walking aid, needing to keep spare clothes close by in case of incontinence accidents, easily distracted and prone to wander off if left alone outside, the need to get out of the house for stimulation, her anxiety when she cannot see me, the need to have a car handy if she gets upset etc. I don't know if that will be enough but at least once I have my own, I will be fine when I take mum out but my sister, her main carer, really needs mum to have one to help with shopping, medical appointments, activities etc.
I'll have to see what happens!