I'm wondering that too. TN NM is the best RO for me, hands down. No matter what else I try, I always find my way back to it. So i'd love to hear from anyone who's used both.
These are the ingredients for TN NM:
Water, Caprylic/Capric Triglyrceride, Stearyl Alcohol, Cetyl Alcohol, Stearamidopropyl Diemthlyamine, Persea Gratissima (Avocado) Oil, Aloe Barbadensis Leaf Extract, Brassica Campestris/Aleurites Fordi Oil Copolymer, Fragrance, Caprylyl Glycol, Aspartic Acid, Lauroyl Lysine, Distearyldimonium Chloride, Benzyl Alcohol, Citric Acid.
And the Giovanni (re-posted for easier comparison):
Aqua (Purified Water), Glycerin, Cetyl Alcohol, Caprylic/Capric Triglyceride, Stearyl Alcohol, Cetearyl Alcohol, Guar Hydroxypropyltrimonium Chloride, Panthenol (Pro-Vitamin B-5), Phenoxyethanol, Citric Acid, Chlorophyllin-Copper Complex, Fragrance, Aloe Vera Leaf Juice, Avocado Oil, Lychee Chinensis Fruit Extract, Olive Fruit Oil, Chenopodium Quinoa Flower/Leaf Extract, Shea Butter, Sunflower Seed Oil, Sodium Benzoate.