I fish the hitch as often as I can with both dries and wets using Wulff's method. To me an important part of the process is to tie the hitch and toss the fly into the currant holding onto the tippet and watch the fly on this little mini swing to find a consistant and desirable fly posistion. With just very minor adjustments the flies orientation will change.
With Art Lee's method the fly swims backward at the latter part of the swing. Not to many things in nature swim backward toward the beach. That never seemed right to me.