I advise you to turn it off by shutting off the gas and letting her starve out and die and then open the throttle wide open and leave it set there afterwards. On my hand starters Ive done it that way for yearssssssss and its proven to be the best for easy hand starts. Id have to look it up, but I believe thats how mother Deere advised it be done back in the day.
As you say, others may have different methods and opinions, all I can say THATS WORKED BEST FOR ME, so its your tractor and your choice so go for it however you wish.
PS for the old al fuelers that used lower octane Tractor or Drip Fuel etc., it was good for the gasoline to flush the carb (shutdown) and then, of course, let it re fill with gas for start up prior to warm up then switching to tractor fuel..........