I've never owned a stick burner so I can't say about that, but in the past I had one of the small brinkman smokers, and was able make some really good BBQ. The only thing I didn't like about it was I had to constantly be tending to it. From the sounds of all the stick burner lovers on here, it takes a similar amount of work to use. I will say I think the stick burners look like the Poster Child for what a smoker really is.
However, I recently purchased a WSM and I love it. I don't have a problem sitting around the smoker, but most of the time I don't have a whole day to tend to the smoker, and have other things I need to do. So in the past I haven't been able to smoke near as often as I would've liked. I've smoked on the WSM, and it was basically set it and forget it. I like the idea of being able to put a pork butt on the night before, and waking up to BBQ without having to get up in the middle of the night to mess with the fire. Don't get me wrong, if you want to sit by the smoker and drink beer, the WSM still offers the ability to do that, you just don't have to get up near as often to stoke the fire, and can spend more time drinking beer. :-)
Either way, I hope you are happy with the decision you make, and that your smoker is always full. And, if you really can't make a decision on one or the other, a man can never have too many smokers.