Ross,
I think double tapping as you describe is a good way to choose a recoil spring, but not a very effective way to shoot a match.
One sight picture, two shots; the location of your second shot can tell you a lot about how well the gun is tuned to your trigger speed, strength, grip technique. If your second shot is high, a heavier recoil spring could help get the front sight back on target quicker, if the second shot is low, the muzzle could be dipping upon returning to battery and a lighter recoil spring might benefit you.
I use words like "could" and "might" because there are a lot of variables involved, but I've found this to be a helpful tool in getting two alphas.
If the sights return to target by themselves, aiming the second shot requires only observation/confirmation, rather than correction.