No, I wouldn't. First of all because these nicknames don't make sense to me. I know they were created at a time when there were ten girls named Mary in a family and people had to tell them apart somehow so they thought of all kinds of nicknames such as Molly, Polly, Mamie etc But it's hard for me to understand how you get Daisy out of Margaret, for example.
I also think it would confuse people. Non-namenerds will likely not know that Sadie is an old nickname for Sarah and they'll just think of it as weird and confusing.
I'm guilty of having a soft spot for Sarah 'Sally' but I'd never use it.
Many of these names work really well on their own: Sasha, Elsa, Elise etc I'd never use them as nicknames.