I think I understand what you are saying but I, myself, have some issues.
Cocktail usually refers to same type of fruit just with different varieties (as in citrus or mangoes). I personally don't agree with them for certain reasons,citrus especially. Most citrus cocktail trees you see a grapefruit, orange and lemon...problem is as the tree gets old, the grapefruit will eventually overtake and muscle out the "other" varieties. Call me a purist or negative but in my opinion, go with one variety per tree. Again, I understand why people do it with mangoes and I am not criticizing anybody who does it but I am just not a fan of it.
Now, with what you are saying, with all those different types of fruits, you will have compatibility issues. In other words, they are not all compatible with each other to be able to graft a frankenmess.