I have not heard of this particular diet but do avoid all high fructose corn syrup and try to avoid fructose. Fructose is not necessarily bad when part of sugar. I believe sugar is made up of glucose and fructose. Together, it is easily digestable. Seperately, fructose is very hard to digest. High fructose corn syrup is genetically modified corn (please, someone, correct me if I am wrong. Definitely not an expert on this stuff!) I do know there is a difference between fructose intolerance and fructose malabsorption. Malabsorption has to do with just fructose and having fructose in a larger quantity than glucose. Sugar is 50/50 glucose and fructose, thus making it easier to digest natural sugars. Fructose intolerance is the inability to digest sugar at all. Intolerance is very serious, possibly life threatening. Malabsorption is less serious with fewer complications.
I don't know much about gluten. Does that get easily hidden by other names on ingredients lists? Isn't it part of wheat?
Here's a couple articles on fructose
Since going off fructose, I've had a lot less gas (particularly the stinky gas...). I was pain free for a whole week (RLQ pain) but it's back this week. Better start looking for more stuff to give up!