From information I,be been under the impression the solenoid seals leak and get fuel into the case. This may make for more force to move the solenoid.
Heat gun and pumping the priming lever seem to work for me. I'm of a mind to try a small torch so things are portable. Another idea is to rework the extra good solenoid I now have to be mechanically operated.
The solenoid does not shut off fuel. It deactivates the injection pump plungers.