Would raw vinegar have the same benefits?
Apple cider vinegar, yes. Also kombucha, yogurt.
as opposed to cooked vinegar? :-D
My grandma drank ACV with a dab of honey every morning. She lost mucho weight and maintained normal weight after being overweight for years. Her death certificate says she died of old age.
Maybe, but it would be less and not as reliable.
Raw vinegar (including raw apples cider vinegar) will have some probiotics, but not remotely in the scale of what is in natural sauerkraut (that is in your refrigeration section).
The cabbage itself is also has tons of fiber, vitamin A, K and various phytonutrients.