This is an interesting tip. Thanks!
I usually use a point-tip, because when I've used a chisel tip I've tended to short multiple-pins together when I'm just trying to solder one pin. But the issue with a point-tip (a fine point tip) is that it doesn't seem to heat the pad/pin as well
But your comment as got me thinking -- if I keep the chisel point away from the IC pins and just heat the pads, there might not be a problem with accidentally soldering multiple pins at once (as long as I use very fine solder), and the pad might heat up more quickly.
You can end up with some solder bridges, but they are easy to deal with. It usually means you are not using enough flux. To get rid of a bridge, 99% of the time I can avoid even using wick. I clean the tip to get the solder off using the metal sponge, wet the bridge with flux, and then use the dry tip to reheat the solder. Extra solder transfers over to the dry tip, reflows the pins underneath the tip, and almost always removes the bridge.
This video shows the drag method with a chisel tip exactly. The guy even gets a few small bridges and then clears them in the way I said. Watch how he uses the flux, that is as important as the solder. All he is doing is wetting the tip with solder and dragging it across the pins.