Well one thing that article doesn't mention is that the scale isn't your ultimate guideline for how much fat you've lost or how much muscle you've gained. Gaining muscle is extremely difficult unless you are a 19 year old male pumping full of testosterone and are beginning a heavy weight lifting regimen. That doesn't mean we can't gain muscle, I just would never describe it as an easy process.
There is also the fact that your muscles retain water as part of their healing process. So it isn't unusual for someone to lose inches and the scale stay the same or even go up if they are working out.
And of course when people say muscle weighs more than fat, I usually think they are talking about volume because if you had 2 jars, filled one with muscle and one with fat, the one with muscle would weigh more.
I think building muscle is fantastic! I've been lifting weights since last November and it's made the world of difference! Everything in daily life is easier, from vacuuming, carrying groceries, even getting out of the bathtub. Plus the fact that the more muscle you have the more calories you burn, even if you're doing nothing, well how can you top that?
I definitely agree with Nelie - since muscle holds on to the water in your body to rebuild after a workout, it will weigh more at first. Strength training is great - been doing it with a personal trainer for almost a year and makes a ton of difference - the boost in my metabolism alone is worth it!