This is correct.
I would hesitate to make any statement about "all organic balsamic...." organic just means they didn't put pesticides on the grapes, not that they didn't add the sulfites during processing of the final product. Always read the labels.
Found this on the thread about Caramel color in beef broth. So it reinforces all the information I have been given with 'living proof' of why they get really 'sneaky' sometimes.
Organic Caramel Color - Beef Broth
"According to the Food and Drug Administration's Code of Federal Regulations carbohydrates that may be used to produce caramel color are dextrose, invert sugar, lactose, malt syrup, molasses, starch hydrolysates (such as glucose syrup) and fractions thereof, and sucrose."