The tags and classes don't do anything without assigning a style sheet that references them.
You can also drag the input fields out of the divs after generation to re-arrange them into any design you want.
I use databridge with bootstrap and I don't remove the tags. I define my own style sheet to go with the design I want and reference the classes. I think having the classes around the fields give me flexibility and aren't a limitation.
I'm not sure what exactly you would want from the design without specifics for what it is that throws off the design or what you are going for.