The term “MiniLathe” refers to “A Small Lathe” which is a very broad description.
When we say “EngineLathe” we are narrowing the description to a specific type of lathe. There are many types of lathes, each with a specific purpose.
A few examples would be: “Brake Lathe” “Chucker” “Boring Lathe” “Barrel Lathe” to name just a few.There are many other examples.
Dick
OldToolmaker