My father has cancer and dementia. He has around the clock care. He has gotten very weak and recently fell. I checked him from head to toe. He was fine. I called the doctors office to see if they could prescribe a wheelchair for him. The doctor who was on call, (not my dads doctor), said I needed to bring my dad to hospital for evaluation. My dad had told me in the beginning, no hospitals. Am I going to be in trouble if I don't bring him in? I know my dad is dieing and he wanted to die at home. His own doctor we saw on Thursday of this past week. I have power of attorney.
You are doing the right thing by calling Hospice in. Make sure they put Cancer as his primary diagnosis as it makes acceptance much easier. They will be requesting his doctor's records so they will know hospice has become involved.
You are certainly correct that many doctors don't seem to recognize that people's medical needs change as we grow older. Geriatricians specialize in that.
However, if you are happy to take responsibility for the decision then I don't see any problem with your trusting your own judgement. So no, don't take him to hospital - with the ordeal of the journey, a long wait, unnecessary tests and all the rest of it - if you are quite sure that the fall did no harm.
Call back during the working week about the wheelchair, or wait for the hospice visit. Meanwhile, you can probably find techniques online for correct support of a frail elder with poor balance - there's a knack to it. Circle of Care has a YouTube video, and there's another at mariecurie.org.uk.
Hospice provided the wheelchair when mthr stopped being able to walk. Hospice provides everything she needs medically - I had no idea they had so many interesting pieces of aid equipment, but it makes her life so much better.