Layer styles do not always react exactly the same way as they do in Photoshop and many times it requires editing. I'd suggest adjusting your layer styles on your Editable text layer and then save the style as an animation preset so you can apply it to all of your layers.
Personally I don't think that either example is very easy to read. I would probably do something that looks a little more modern and clean.
Well, the answer is color management (and you not using it), but that would require a lot more info to even begin to advise. And yeah, as Rick said, the text looks awful...
I've tried adjusting the layer styles but it just does not look the same.
I'm a noobie to After Effects so please advise as to what info you require to help me?
As for changing the look of the text, beauty is in the eye of the beholder. 8)
- EDIT -
I've change the style a bit and now I don't have the problem.
I wonder if it had anything to do with the style layer having advanced blending options. They are no longer present in the new style and I don't have the problem anymore. I guess it's something to look out for in future projects.