You should carefully consider this assumption of "the stakes are not high". I would argue that the stakes are very high, in fact the diver may well DIE if they don't accomplish the task. You might feel the problem is easily fixed, but that does not mean that the stakes are "not high".
This is not a trivial point or semantics. What you may not realize is that some divers enter the water in a negative condition and may immediately begin a head first decent and some (advanced) divers might even consciously avoid inhaling deeply in order to stay as negative as possible for the first 10 or 25 feet of descent. So you could easily have a diver who is swimming down hard, sinking fast, takes a breath from the regulator, slowly exhales and now is even heavier and is 35 feet down and then pops his inflator a little and then tries to clear his ears and simultaneously tries to inhale and there is NOTHING. Nothing to breathe and there is no immediate solution to the negative buoyancy situation.
So now the divers is sinking, is heavy, his ears are hurting enough to be a huge distraction and will soon be subject to barotrauma and if he delays for 3-4 seconds more before figuring the problem out - his ear drum will rupture and now has to make the decision to
(a) drop weight,
(b) swim up like hell,
(c) locate his buddy and communicate the problem and secure a second stage
(d) locate and then switch to his octopus - obviously a bad decision in this scenario, but one that a diver might try in an emergency
(e) TRY to reach back and turn on the valve - even though his hands are full of expensive equipment
If the diver fails to immediately and correctly identify the problem and successfully employ the correct resolution with empty lungs and crushed ear drums, this could end very badly.
It is NOT a low stakes situation and it is NOT a necessarily trivial situation to extricate yourself from. Sinking out of control with nothing to breathe is a lot different than talking about turning on a valve on the internet. The complexities of this situation has caused people to die.
It is very important that people can reach and turn on their own tank valve, but the objective should be to never have to actually do it.
edit: This is one of the scenarios which makes me so nervous about people who "casually" will wear no ditchable lead. If they jump in with the tank off and swim down a ways, their options for making it home that day are significantly reduced.