well... that was fine for the time. The problem was that "people" was not extended to all people.. slaves were not citizens and they would be now. as such.. there really could not have been slavery.
It would have faded out no matter what tho because it was a bad idea. Any human would be "the people" the africans of the time were not thought to be human.
We know that they are now so... end of problem. The document works fine.
lazs