Funny, when I was taught to solder this was the exact method that was taught. It has served me very well with everything I have needed to solder.
One problem now seems to be availability of lead solder. Here you cannot find lead solder in shops. I have had to use silver solder and it is ok to work with. Requires a hotter tip though. Doesn't always provide nice joints either. I need to order my 63/37 solder online.