The difference I think is online shopping is shopping for random stuff like a bike, a car and other things to. Online e- shopping is shopping for electronics.
Another answer
E shopping means, shopping using an electronic devise such as a computer rather than walking around in a mall or store. Online shopping means shopping on the internet which a person would also need an electron devise such as a computer to get on the internet. E shopping is e-commerce and is basically the thing as online shopping.
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