There are 2 benefits for me.
1 - If I am breathing from the loop, then the O2 is on and I have a better chance of not going hypoxic too quickly.
2 - when I remove the loop from my mouth, the O2 will not continue to bleed into the loop or drain my tank if I forget to turn it off later.
So, if I may play the devil's advocate, you are human and susceptible of forgetting. Ergo you might one day forget to turn off your O2 when removing your DSV (which is fine) or to turn it back on when putting the DSV back in your mouth (which could be fatal in some situations).
I know that you are primarily a cave diver, so this is likely not a concern for you, but I could see where someone using your protocol on a rocking boat could be suddenly thrown in the water, rapidly putting the DSV in their mouth, struggling to regain their balance, then kicking furiously to reach the current line, missing it, still kicking and finally passing out because their solenoid died and their pO2 had dropped below life sustaining levels (oh, yeah, because they just didn't have a chance to think about turning the O2 back on in the heat of action!)
Again, unless you spend A LOT of time bleeding O2 in your loop, the loss is negligible.
While the strict adherence to the pre-dive checklist (turn on O2, setpoint 0.7, check solenoid, full manual addition, check pressure, etc) guarantees (until something fails) that your unit will sustain your life (as far as O2 content is concerned). I for sure know that if I were to use your protocol, I would not be able to exclude that I would forget to turn back the O2 on.
PS: your point 1 is also guaranteed if you follow the pre-dive checklist, BTW.