Aloneness is obviously not isolation, and it is not uniqueness. To be unique is merely to be exceptional in some way, whereas to be completely alone demands extraordinary sensitivity, intelligence, understanding.
Men flocked to see it and ascended it as it was a novelty and of unique dimensions. It was the toy of the exhibition. So long as we are children we are attracted by toys, and the tower was a good demonstration of the fact that we are all children attracted by trinkets. That may be claimed to be the purpose served by the Eiffel Tower.