I'm not sure if Mum recognises me or not. I often tell her who I am, or make reference to myself in a funny way she used to use years ago in the hope that somewhere inside it triggers some recognition.
Dad now often refers to me as 'his friend'. The carers will say that he got through to your answerphone and afterwards asked "if my friend is coming over soon".
At first it was a shock. However, they seem to know I'm close person, and clearly more than a carer or non-family friend. E.g. if I recline in the chair next to Mum's bed, she'll sometimes tickle my hair or feel the contours of my face/head, and that's not something she does with anyone else.
It's been said many times by many an expert, that dementia sufferers forget conversations, names, etc but remember the emotional feeling that person left them with. This is so true. You could even go so far as to say, that label become meaningless and they sense the inner you.
So every time I enter Mum's room, I become her happy playmate: I arrive with with a naughty treat or a silly comment to make her giggle - usually something making fun of myself. "Blimey this chair's hard - good job I've got plenty of padding on my bum!", etc. She love whispered conspiracy stuff "Quick pop this choccy in your mouth, it's yummy, but don't tell everyone else, they're just for us" Even though Mum is late-stage dementia it cuts through to an extent.
In a way, if even though your loved doesn't know 'what' you are (son, daughter, husband, wife), but seems to know that you're a nice, trusted person, to me that's priceless. That keeps me on my toes as I don't want to them anything other than safe, reassured and cared for in my presence. From what Dad says and Mum reactions, they clearly know I've got their back.
Best of luck xx