They are obviously more alike than different, just like all lithium based battery chemistries. Which may explain why the scientists who create and improve these chemistries and write the peer-reviewed, published, papers consider them all Lithium Ion cells. Your argument is with someone other than posters in a DIY forum. It is not an argument you will hear at MIT. Li-Ion, LiPo, and LiFePo4 are an easy way for laymen to differentiate battery types. Continue tilting at windmills if it makes you feel better, but I suspect the real experts will tell you you are wrong.