Hello Beauty,
It has been many years since I had a lye relaxer. Maybe 20 years, back in the Revlon Relaxer days. So, I can't really make a comparison. It was only since I have been a member of this board (October of this year) that I heard that no-lye relaxed hair can be dryer than hair straightened with lye relaxer.
I just keep mine moisturized and reduce heat usage and I am having good results.
I hope that helps.