that would be b/c gluten and dairy both deplete zinc. serum zinc goes up when you quit gluten for sure and I suspect quitting dairy would have the same effect. but you don't necessarily know by how much, or if it's enough. testing can help you decide if therapeutic supplements are in order.
READ ME key info on nutrient targets - www.thisisms.com/ftopict-2489.html
my approach: no meds so far - just nutrient-dense anti-inflammatory whole foods, and supplements where needed
info: www.whfoods.com, www.nutritiondata.com