The reason you balance has nothing to do with turning side to side (Steering) it has to do with bouncing up and down
If you spin something it wants to spin around the center of gravity.
Now let's take a perfect ring.. balanced. and spin it like a top It will relove around the geographic center. Which is also the center of gravity for it.
Now put a 2 ounce weight on the ring and spin it. It now spins "OFF Center"
And if that's a tire it bounces (And I might add exactly the opposite of how you think it does but that's not important)
Loss of control Rough ride. Reduced tire life
HOW TO BALANCE?
Ideally I'd machine balance on a machine designed for it (not a bubble level but the high speed spinner machine) but for big (22.5) that's not practical at most shops Truck shops perhaps but not auto size.
Belle Tire (Burton MI) put balance beads in mine. Rides smooth.