Of course, since I suffered from gum disease in my youth, I know the only way to eradicate it is mechanically, in the dentist's chair. The process removes a layer of gum tissue which will not grow back which then means you are much more susceptible to the problem recurring. Extensive oral hygiene thus becomes a way of life.
Regardless of any link with alzheimer's, I would urge anyone to avoid having to go through this and, if you have bleeding gums, go and see a dental professional as soon as possible - expensive mouthwash may mask the problem for a while but it certainly won't cure it.