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I think you're over thinking things here and it's a bit jumbled.
The only thing that changes is the card you're changing. Everything else stays the same. If you close the hilton and open a new one then the new one has an open date of when you open it.
Amex doesn't backdate anymore so, there's that as well.
If you want to keep it alive then just put something on once a year and throw it in a drawer.