Hmphh.. That's a different take on why quarter turn back may be useful. Is it possible there is a defect with your RH valve? I'm not familiar with twins, but can't see that a quarter turn back (or less than that as I do) can really hurt anything. Now maybe if you consider boat DMs fooling with your valve to make sure your air is on and mistakenly turning it off. Not a concern if you take 3-4 breaths before jumping in or are diving solo from shore.
A DM -- or anyone else for that matter -- touching my kit would result in me throwing them over the side! Thankfully we don't have DMs on our boats, just independent divers who are responsible for their own kit and welfare. (Maybe that sounds a tad strong, but a boatload of essentially solo divers are like that -- touch their kit at your peril!)
I think it was against the end-stop and in the warmer ambient temp topsides, the valve contracted in the colder water and jammed. When reaching back over one's shoulder, you don't have much purchase to turn the valve, certainly not as much as when you're standing in front of the valve.
For me it's just logic that you open a valve fully, then back it off a smidge, say 1/8th or 1/4 turn. When doing a shutdown, you've drilled it into your muscle memory which way to turn the valve for off and on.
I'm not keen on the other advice which is to only partially open the valve. There be a load of potential problems, like not opening it enough to breathe when you're deep.
I always, like OCD always, test my breathing gas three times. Firstly when standing in front of the kit when I'll turn the gas on both sides, then breathe from each regulator and check the pressure. Secondly when I've got into the kit and put the necklace on -- breathe from it -- and routed the longhose around -- then breathe from it at least three breaths. Finally as I get up to waddle over to the jump I'll always breathe from it for another three breaths (and ensure there's gas in the wing).
The same applies with a rebreather, but in this case it's the pre-breathe to ensure the scrubber's woken up. Even so, before I waddle over to the jump it's check the PPO2 (oxygen levels) and some gas in the wing.
Critical to know that you can breathe when you jump, and that you will float on the surface. Was on a boat once where somebody died because they didn't ensure that.