Both are commercial products whose effects vary from person to person. Of course some products are better than others and even some vegan or organic products will be better than other vegan or organic products.
As the above poster mentioned, organic means no artificial additives or ingredients while vegan means no animal sourced ingredients.
I seriously doubt that a vegan (or non vegan for that matter) skin care product will contain fertilizers or pesticides.
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The words vegan and organic have nothing to do with each other.
Vegan means no animal testing, or animal byproducts were used. A product doesn’t have to be organic to be vegan.
Organic means no pesticides, or cemical fertilizers were used. A product labeled organic could still be tested on animals and could contain animal byproducts.
BTW: in organic chemistry water is a non-organic ingredient, since the water molecule contains no carbon atom. This was the origional meaning of organic.
Vegan products are free of animal ingredients.
Organic products are free of non-organic ingredients.
Whichever is “better” depends entirely on your needs.