@ribwoods,
I don't know. Where did you hear this theory?
Star cores are highly stratified and very stable due to the intense gravitational field. I'm not sure much if anything gets to the surface by convection.
Also I'm not sure elements need to be brought to the surface in order for them to effect the spectrum of the starlight. I think the material from the core produces photons which eventually (after a LONG time) make it out to the photosphere. But I'm not entirely certain about that.
Do you have any links you can reference on this?