"Oxi" Isn't a regulated word/term
As such detergent and other product makers are free to use it in names or whatever. This even if the product in question does not contain any sort of oxygen bleaching agent.
Product on left "Tide Ultra Oxi" is P&G's latest incarnation and part of a line of products having that word in product name.
https://tide.com/en-us/about-tide/tide-ultra-oxi-detergent-collection
Tide Oxi Powder ingredients:
•INGREDIENT
•Sodium Carbonate
•Sodium Sulfate
•Sodium Aluminosilicate
•Sodium C10-16 Alkylbenzenesulfonate
•Sodium Carbonate Peroxide
•Sodium Laureth Sulfate
•Sodium Phenylnonanoate Sulfonate
•Sodium Polyacrylate
•Sodium Silicate
•Water
•Fragrance
•Palmitic Acid
•PEG
•Fluorescent Brightener
•Phenylpropyl ethyl methicone
•Protease
•Amylase
•Lipase
•Blue 1
Sodium Carbonate
Ingredient descriptions have been provided by Tide.
Tide Oxi Liquid contains:
•Water
•Sodium Alcohol Ethoxylate Sulfate
•Linear Alkylbenzene Sulfonate Mea Salt
•Alcohol Ethoxylate
•Citric Acid Mea Salt
•Polyethyleneimine Ethoxylate Propoxylate
•Diethylene Glycol
•Propylene Glycol
•Linear Alkylbenzene Sulfonate Sodium Salt
•Alcohol
•Borax
•Polyethyleneimine Ethoxylate
•Sodium Alcohol Sulfate
•Fragrance
•Lauramine Oxide
•Lauric Acid Mea Salt
•Citric Acid Sodium Salt
•Sodium Dtpa
•Flourescent Brightener
•Myristic Acid Mea Salt
•Sodium Cumeme Sulfonate
•Poly Siloxanes
•Palmitic Acid Mea Salt
•Calcium Diformate
•Oleic Acid Mea Salt
•Ethanolamine
•Sodium Formate*
•Hydrogenated Castor Oil
•Protease
•Stearic Acid Mea Salt
•Sodium Hydroxide
•Siloxanes & Silicones
•Amylase
•Ethyl Hexyl Stearate
•PectateLyase
•Dimethicone & Simethicone*
•Liquitint Dye®
•Mannanase
•Benzisothiazolinone
Product on left is (or was) the most recent (until Tide with Oxi) incarnation of Tide powder detergent. You can see ingredients listed here:
https://tide.com/en-us/about-tide/innovation/detergent-ingredients