Here’s an intuitive reason, have you ever used a wheelbarrow? You’ll notice that picking up a wheel barrow to push it is extremely nimble to spin it up around the wheel and dumping the contents precisely. Turn around and try instead to pull on it, and suddenly you can’t make as sharp turns and maneuvers unless you uncomfortably shimmy your feet around. One fixed point of swivel with a long lever behaves differently being pushed than when being pulled. A car has a similar effect in place, driving backwards a car is more precise and maneuverable than going forward. Because the rear wheels act as pivot points and the front wheels have a long arm of leverage to more accurately direct the car, with tighter turn radius than when going forward. This is why experienced drivers agree that reversing into a parking spot is easier than pulling into it.