Had a look at the S-G smoothing and like many filtering approaches it requires you to set parameters which I can find no obvious method of fixing other than by eyeballing the results.
While you need to set the number of layers in the wavelet multi spectral approach it uses noise modelling to set the thresholds on the filters at each layer. This together with the visualisation makes it simpler for me to assess the results.
It does seem to be the modern approach, see Astronomical Image and Data Analysis by Starck and Murtagh.
Regards Andrew