I'm not quite certain what you are saying here. They may seem similar but they are different. There have been a number of cocktail shaker chop cup designs as well as other effects made by a variety of builders over the years.
In the past I have also made a cocktail shaker chop cup with the little lid chopped too (no longer in active production). Another one I made for a guy utilized three layers of metal. It was a combination chop cup, chopped lid, and lota liquid load (one-of-a-kind). There have also been foo can and just lota type cocktail shakers made. I am currently working on a new think-a-drink cocktail shaker.
Though these shakers may all look similar, they are all different in the workings.