I am of the opposite opinion. Cold soaking takes far longer to hydrate dehydrated foods. For instance, an ounce of dried beef + two ounces of water should yield about 3oz of raw beef. But, cold soaking for two hours doesn’t quite do it. It typically takes three or four hours. If I boil the water with the beef in it, it will rehydrate in about 45 minutes in a cozy. This is just an example, of course.
Black beans and rice also take about the same amount of time, but unless you use precooked rice, the rice never fully cooks and can give you leg/body cramps as it draws moisture out of your body during digestion. Cramps are simply not worth it for the 5gm of fuel I would save. If I cook the same 6oz of beans and rice with two ounces of dried beef with 16oz of water, it will cook in 45min in a cozy and I didn’t need to carry the pound of water for 2-3 hours ahead of time. This comes close to applying to every meal on the trail, not just the rice dishes. I cannot say this is very scientific, but in general terms, I find that having the stove & fuel is actually a weight savings.
Then there is the overall water I normally boil in the morning/evenings. I make about 3 cups of Mud/Coffee(mocha) in the morning and have a cup of cocoa at night (usually with a shot of scotch.) Counting suppers, I use about 15gm of canister fuel per day. For that usage, I get back about 6 cups of water. Since I use a Steripen for other drinking water (about 3 quarts) I am drinking something more than a gallon of water per day. But, I only ever carry a maximum of 1 quart (or a liter.) I fill my platy at camp (evening,) and this is usually enough to fill my bottles the next morning. The Steripen weighs about 3-5/8oz including two weeks of batteries, OR, about. Carrying extra water, either in food or rehydrating food, is something I ALWAYS avoid. Water is heavy.
OK, so my water weight and food strategy are both outgrowths of UL philosophy. Boiled water lets me be far more comfortable at camp in any type of weather. I have a hot breakfast, coffee in the morning, and, a hot supper and a light hot drink at night. Boiled water lets me rehydrate food faster and stays warm enough to eat till it totally rehydrates (non-total rehydration can draw moisture from bodily sources to complete the process, in some cases -like rice- over a long duration.) It adds to my total water fulfillment over the course of a day with minimal fuel usage, in most cases reducing the load on my Steripen or filter. And, carrying a stove about pays for itself because of the reduced load on my drinking water, letting me carry less per day than I would otherwise (no water to carry.)
Weight, specifically water weight, is about a wash when it comes between an alky stove/canister stove/WG stove over the two week outing I mention. I generally bring a canister for about a week and an alky stove for three to four days.