So what’s happening is your “twist” is really just causing an off-center contact with the cueball. In your example: you are hitting slightly left of center, which is deflecting the cue ball right and adding inside spin. The slightly right cut on the object ball is corrected by contact induced throw and spin induced throw (inside spin). This straightens out the ball and allows it to go straight to intended target and adds to the illusion that your “twist” is what allowed you to get this reaction. Actually your “twist” did cause the reaction but not for the reason you think.
You can NOT deliver a consistent stroke this way. Focus on never doing this again. Ever ever ever!!!
This is not intended to be critical but: These are the kind of interpretations that hold pool players back from getting better. I’ve incorrectly concluded an outcome from what I’ve observed many times and it’s held me back. It was until I hired a pretty good coach that I started to unlearn some assumptions that were holding me back.
Shoot starting buddy!