This is true, but I don't think the extra calorie burn via extra muscle mass is dramatic enough to move the needle that much. Studies are a bit weak here, but a quick search suggests that a pound of muscle mass burns between 4.5 and 7 calories per day. That's... not that much. A bodybuilder that's putting on competition-worthy levels of muscle mass is going to be spending several hours every single day at the gym lifting weights, and very few people are going to sign up for that just for the hope of losing some weight.

I've been doing some strength training (arms, legs, core) for the past year and a half. Nothing too heavy, but enough that I can see nice muscle-tone changes in my body, and I notice that day-to-day physical tasks are easier. At most, I've put on about 10lbs of muscle (and honestly it's probably more like half that). So I'm burning another 45 to 70 calories per day. That's like... 4 to 7 plain potato chips of calories.

So lift if you want to look good, be generally stronger (core strength is especially good for you!), or just feel healthier. And sure, the act of lifting those weights will burn calories that you weren't otherwise burning. But the muscle mass you gain isn't going to burn a useful amount of extra calories per day.

And yes, cardio does suck! Unfortunately, doing only strength training is leaving out really important parts of your body that need to be strong and healthy: your heart and lungs. I'm in decent physical shape, but if I stop working on cardio even for a month or so, walking up the four flights of stairs in my condo building leaves me a little winded, and I don't like that feeling.

I guess my point is: do cardio and strength training to increase your general level of health and fitness. But if you want to lose weight, change your diet. Change it sustainably and permanently. If you just change it until you get to your target weight, you're going to put those pounds right back on afterward.