I really don’t know what you’re getting at.
The usual formulation of the founders was “life, liberty, property.” It seems that the unique formulation of the Declaration, “life, liberty, happiness,” means essentially the same thing.
Except the "unique formulation of the Declaration" is "Life, Liberty and the pursuit of Happiness", not just "happiness". To mean the same thing the words should be "Life, Liberty, and the pursuit of Property".
Life and Liberty are inherent to a human being. Happiness and Property are not. They must be pursued and attained. We have a right to pursue them but no guarantee that the pursuit will be successful.