Yes it is an acceptable method for reducing sugar detection. All monosaccharides are reducing sugars, and fruit sugars are generally considered as fructose. That means you can use this method as a sugar detection method. But you should adjust the proper acid dilution to overreact the monosaccharide with acid.
I agreed with Selim Silbir's answer. This method was one of the valuable method to identify reducing sugars. For your reference the marine polysaccharide agar product D-galactose and L-AHG was identified and quantified by DNSA method.
After reading your questions, I found that there was a problem in your experiments. Fructose is much easier to be degraded by acid at high temperature than other reducing sugars. It's better to use enzymatic hydrolysis for sugar releasing from your samples.