If so, it ain't working. I admit, I don't "truly understand" the obsession with flunking a beginner driver over that one driving skill. I look at like a non swimmer, they don't go in the water, a poor parallel parker avoids parallel parking, and nobody dies.
I taught my 3 kids "spatial awareness" by having them drive down a straight road and tell them to stop, hand them a tape measure and have them measure how centered they were in the lane. and repeat.
After that was mastered I put a quarter on the road, and had them stop as close as they could to it without running over it with the left front tire and then we did the right front.
To repeat myself, go karts on a track teaches all these skills, faster, better, visually, less costly and intuitively.
I will admit parallel parking skills does give others insight into one's courtesy to other's by often one leaves a note from an errant bumper parking lot scrape/bump, and if they leave room for others to leave their space.
BTW, I am IMO an above average parallel parker. I also have driven Semis and trucks for over 5 decades for millions of miles and had only one accident (was rear ended) speaking of spatial awareness.