As others have said, you need to stress everything that impacts on your life, as it happens on "the worst day". Remember, it is the person who has the illness, who has their finances taken into account, not the carer. Unfortunately, every Local Authority is autonomous, but I would assume most of them are having to make cuts in what they can offer, and if it doesn't seem sufficient to meet your needs, you must say so. A meek or stoic acceptance doesn't get you very far.
I hadn't had any experience of dealing with Social Workers, and I stupidly thought that we would be assigned one, and they would stay with us for as long as we needed one. My late husband had 5 different SWs in 7 months. Every time I requested an extra Day Care session, or help with dressing or undressing, even though I was paying for it, a new SW was assigned, and I had to go over everything again.
It can be very distressing explaining everything about your spouse when they are present, and I found it helpful to type out a statement, To Whom It May Concern, detailing everything, and give it to the SW on their arrival. That way, John wasn't distressed by how I said his illness affected me. Remember, this is the carer's assessment, and sadly, many people with AD are in complete denial, and will contradict you when you detail the way their illness impacts on you.
I wish you luck.