Nope. In your analogy, there is a word spelled out, so there is evidence for intelligence design. With the universe, there is no evidence of intelligent design. There is merely an assumption being made ... namely, that the universe is too complex, beautiful, etc. to have come about naturally.
If there was no direct evidence of humans existing and creating words (as with the universe), then you would have a point. But, there are plenty of people in the world that could have spelled the word with rocks. God, otoh, could very well be a man-made invention.
The odds are not that long when there are 14 billion years to work with. And, the mere fact that we have not yet proved a natural cause doesn't mean that one doesn't exist that we merely do not yet know about.