Thank you for sharing your results! I think you’re correct that there isn’t a “best for all” sharpening method, but rather the method you choose should depend on the image and where you want to gain sharpening.
In my limited experience, wavelets work well when the image is already sharp and less well if the image is blurry or out of focus.
Have you looked at g’mic at all? There are some nice sharpening filters in there!