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Much prefer the "soft" processed one, Mike.
I have no experience in planetary imaging, but I do know a few things about image processing.
For deconvolution to be effective you should apply it before any other usual processing operations. I don't know how Registax does its processing, but if all the "wavelet" functions operate only on the single image (after stacking), and if the stacking is just a weighted sum of realigned individual frames, then the deconvolution can be applied to the unprocessed stacked image. Otherwise it should be applied to each frame before stacking.
The "wavelets" should be done after deconvolution. If you need individual frames for wavelets (i.e., it does not simply operate on a single image) then you need to deconvolute every frame first. For best results the deconvolution algorithm should be told what the 'point spread function' of your instrument is. This can be deduced from aperture and central obstruction size: it is the Airy disk and diffraction rings you see when looking at stars at high powers.
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