Good point. No Im not going to say anything unless they ask- but its very unlikely.
I have also clarified with a immigration attorney about that stamp as well when I apply for the chinese visa. Told me something similar that visa officers aren't going to pay much attention to that. Even stated how its impractical for other countries to check into their other countries immigration record outside their own for logistic and political reason.
So I think its safe to say that every country keeps their own immigration record and its not shared with others outside much- fines, misunderstandings.