Your valve opening speed would be abysmal, and you're actually pretty insensitive to breech pressure in this case.
The mini drivetrain works because it uses the bolt as a "secondary solenoid" to dump air to the poppet face and speed the opening dynamic, and then closes based on the pressure balance from a chamber (like insight or GEO2).
There is a solution to this problem that we already use in the Paragon, but it could be adapted. Although it's not optimal for the way this geometry is set up.