When I was first playing accompaniment in either hand and having to make it up I, frankly, deliberately chose what meant I didn't have to move my hand much. I think that essentially leads to good, or at least adequate, voice leading, since I *didn't* jump around too much, and so found no great gaps between one note and the next in any "voice".
So I think that none of the methods will do exactly what I *think* you are looking for. But knowing about those methods will give you options for voicings that will allow you to choose those that don't move your hand, and those options will include more interesting ones than just straight basic chords. But you would have to choose the options yourself, based on your criteria of voice leading or not moving your hand much. There isn't, as far as I can tell, one single rule that always fits every situation.
For me, the best way to become comfortable was to get really comfortable with three or four tunes a week, and, at the start, to limit myself to three of four key signatures (which the kind of music I was playing did any way). Then the shapes of the chords became very familiar, and those shapes transferred to other keys. Others will have different ideas of this, I think.
But, for me, at the beginning, using four different methods only worked for gleaning information about what I was doing - I couldn't have tried to use four at once to actually progress. *My* golden rule was - don't move my hand much, I've got other things that need my attention

Given all that, yes, I think the Sudnow method results in very nice, jazzy-sounding, cool arrangements that can be used for your own or others enjoyment, including some gigs. You can use the user list search function here to find Swingin' Barb and go to her web site to hear examples of what she plays. And she does play out sometimes.
I've heard good things about Willie Myette, but am not familiar with actual players' stuff.
But, again for me, I'd pick one guideline, whether one of the methods or something that works for me, become quite familiar with it in *actual practice*, and use the others to expand my knowledge of what's possible.
And then, I'd encourage you to post your results every once in awhile in the monthly piano bars

Cathy