>>In fact in the example I gave the archaeologist might never be able to find anything about the designer and yet still would perceive intelligent design in the pottery shard he found.<<
No, any architect or anthropologist worth his or her salt should be able to determine the source and use of the artifact with some work (maybe a lot).
That means nothing, other than anthropology is the study of humans. If you have a bowl, you know it held something.
It is meaningless when looked at in terms of how humans evolved from lower life forms. The picture is fairly clear and there is no “bowl” or similar artifact in the human genome that is analogous to your analogy (forgive my redundant redundancy).
We learn more all the time, but we have never seen any evidence that undermines TToE — rather the evidence clarifies the picture.