You can save several hundred grams (5-10 oz) or more, depending on the type of heat source you choose for your cooking. For most solutions however, the difference in weight is slight but a simple and functional solution need not be heavy.
The classic alcohol stove (Optimus) complete with windscreen/pot support, two pots and a lid/frying pan was my companion for many years. 790 grams is not too bad, and it could be brought down another couple of hundred grams by leaving one pot and the frying pan at home. Kluane/St Elias NP, Canada.
You can take out the burner (about 100 grams, 0.2 lbs) from the Optimus and rig a lighter support from an old can. This trip taught me that a windscreen is necessary for saving fuel. You can build a similar burner from soda cans, that weighs around 10-30 grams. In my opinion a very small weight-saving that is pretty useless when you have your big ones under control (see 3 for 3 chapter). Lots of fun making stuff yourself though.
Low in weight but heavy in skill; using a fire for all cooking. It takes a lot of practice to be able to build a fire at any time, in any weather and with what is available. Yukon River, Alaska.
Comments and findings: There is weight to be saved when choosing between different ways to heat your food. White gas, compressed gas, alcohol, fuel tablets, wood burning stoves. Not easy to choose, but in this chapter of the book you will find more on that. Like, why my current favourite is the gas canister stove. Current means that it might change.