That web site has a very biased answer based on the European way of making brown sugar which is to make purified white sugar and then add molasses to it to make it brown and sticky. The molasses comes from abroad where it is extracted from sugar cane derived sugar.
The sugar cane type of sugar is naturally brown as it contains molasses and you have to process it further and bleach it to get it white.
Its stupid really when you think about it - countries which produce sugar cane sugar extract the molasses to make white sugar and the countries which produce white sugar from beet etc.. import the molasses to add to the sugar to make it brown!!!
The molasses itself contains many minerals such as calcium, copper, iron,zinc etc.. so real sugar cane sugar is probably better for you to use.
Btw, there is a stage in the production of sugar cane sugar which I find a really nice product to eat as it is direct from the production line, it is the final product of sugar before the sugar crystals are removed by spinning in a centrifuge, it is a thick sticky mixture of sugar crystals and thick molasses and it is like eating soft liqorice with sugar crystals in it. Probably bad for your teeth but it tastes really good.