I don't know much about these engines. However, I don't believe that all of the stacks were painted to match the base.
This one has the matching stack. It's a fancier slide-valve mode with the firebox door:
https://www.toyenginecollector.com/toys/tag/SS112This oscillating cylinder model doesn't have a fancy stack and it's a very complete engine with box, instructions, etc, so I think the odds are quite good that the stack is original.
https://www.toyenginecollector.com/toys/tag/SS136This YouTube video seems to be the same engine, but with a painted stack.