Yup, they're made to remove/insert. Main thing is to ensure the ball detent is well lubricated. There's a spring behind the ball. Sometimes the spring & ball get rusty & don't move freely.
When ya get it out, put oil on the ball & push the ball in & out, working oil into the spring behind the ball. A chop stick works well for a ball pusher.:-D If it's rusty, keep working oil into it until the oil comes back out clean.
I too have seen the base pin locking "screw" inserted from the wrong side. They're designed to go in from right to left.
So, why would ya wanna take the dern thing out? Cuz it's in the way during various maintenance & fitting & action job operations.
Kindest Regards,
Doak