You might like 'Ao Haru Ride'. It shares the themes of young love and self-discovery that are present in Fuuka. The art style is also appealing. Also, 'Blue Spring Ride' has similar elements of friendship and romance that could appeal to fans of Fuuka.
In reality, a cartoon dojo might focus more on practical training and safety. In fiction, it could have magical or supernatural elements that don't exist in the real world.
Well, fan comics often focus on specific aspects or characters that fans are passionate about. Cartoons, in contrast, tend to have a broader appeal and might follow a set formula for entertainment. Also, the art quality and production values can vary significantly between the two.
Maybe it's to show the struggles and emotions of urban life. The comic might be trying to make a statement about the hidden sadness behind the busy New York scene.