To be clear, there's nothing wrong with using VS to climb. I've done it in the past, and will likely do it in the future. I just think that the technique mentioned above seems like it'd be a lot easier if you just turned off the AT.
I also disagree with the earlier poster who said that VS is smoother than CLB. That may be a holdover from another type, but my understanding from the latest Safety First article is that the airspeed info is filtered before being sent to the AP, so the pitch response is nice and smooth, even in bumpy air.