If you have ever tried steep dives in an Albatros, you may have lost a wing or at least a wingtip doing so.
Especially pulling out of a dive hard will almost inevitably break your wings.
This problem may also be familiar with the Nieuport 17, which I never fly, but which also has fragile
lower wings.
Now, if you still want to follow an enemy plane down fast, you can do this:
bank your craft fully to one side, and give rudder the opposite direction. I'm not sure if this could still be
called a "side slip", but this maneuver will make your craft "fall down sidewards", without putting much
strain on wings and wires.
I have shot down many a Pup or Camel after doing so - they may have been surprised, that I still was
behind them.