I think it makes the process easier, but not super snappy easy. Get yourself some copper braid solder wick as well - it does a much better job than the suckers. Do the pins one at a time, sucking up as much solder as you can with the wick. Also, a tip I've heard is to do pins at alternate ends of the connector as you go, so you don't overheat any one area of the board.

By the way, where did you get your 120 pin EuroDIN right angles from?