That weight was including windscreen, two pots, and the frying pan. I think the Trangia is a very safe stove, because the fuel cannot explode, and the stove is extremely stable. I would not use any stove inside a tent, as they all give off quite a bit of carbon monoxide. At least the Trangia cannot easily be tipped over. The Trangia's advantage is its extremely good bad weather performance (I don't think there is anything better, and I have used many types), ease of cooking, and availability of fuel in many countries. The extra weight is in the 262 grams of the upper and lower windscreen. The burner itself is 110 gram. So in comparison to a gas cannister stove, think of it as a 300 gram windscreen. If you need cold weather performance, your light gas stove will not work, and you will need a heavier liquid feed one with a pre heating loop. These mostly weigh some 200-300 gram. The Trangia gas burner (with pre heating loop for cold weather) is 178 grams, which also rather closes the gap: 178+262=440 gram. A liquid stove gas stove like the Primus Easy Fuel Duo (for both tyes of cannisters) is 368 grams, plus windscreen. A Primus Spider is lighter, at 198 grams, plus windscreen.
So the differences are not nearly as large as you thought. They are largest (i.e some 250 grams) if you compare the spirit burning Trangia with top of the stove stoves.
Willem