Hi
I think it is quite common. It is common with other illnesses as well. My mum never wanted to talk about her cancer or acknowledge or plan things and we kind of had to accept that, not necessarily agree but it was what she could cope with .
I think once we receive a diagnosis for my dad he will be the same as your dad too. He knows there is something wrong , his mobility is not good. He will say he doesn't know where his head is or what is going on with himself. The awareness is there to an extent but that is a far as we are. I don't anticipate he will be able to accept or understand fully, when the time arrives.
We do have POA for health and wellbeing and financial things as well. Dad needs help with all those things. He has a cleaner every two weeks, I fill in the rest of the time. We do his shopping, medical appointments etc. He does still manage to meet friends once a week.
I did find a local charity that do some zoom training and I started that this week. It might be worth having a look in your area because I really found the first session useful and it was nice to be part of a group of people all different with different experiences but either carers, professionals or people with the condition themselves. What I liked about it as well was they focused on more positive things like a diagnosis can mean a good life for 10 to 15 years with the right support and what people can do rather than cannot.
We also have had the OT out a few times (now we make sure one of us is there because Dad just says he is fine and off they go only to have us re refer him again) stair rail, grab rails, bed rail etc that was useful
I hope that helps a little bit though

we are pretty much at the beginning ourselves but these threads are also really helpful in learning and listening to others.