If someone re-creates an old public domain icon today, do they own it, or is that piece also public domain?

A client wants us to use this specific Uncle Sam logo:

The Uncle Sam logo was used by the US Government starting ~75 years ago. This one may or may not be a re-creation, but out of general curiosity:

If someone re-creates an old public domain icon today, do they own it, or is that piece also public domain?