They swim straight and paddle tail does the action. Walk the dog is a top water action lure that looks like a cigar. From you pulling and pausing it goes side to side.
If you want walk the dog type action using rubber just use a senkos type worm with a lighter wire worm hook hooked in the front like the frog you posted but this time put the bard on top just don’t let it sink swing it from side to side of you get the hook set right you can whip them into the lilies
I do not fish anything but a craw, bug or beaver on a jig so with all of your presentations in mind, I would only fish the one with the craw. Not to say you shouldn't, you could have just found the new secret combo!