Wrong. As stated above the axle is the fixed point that the rotating mass spins (wheels, bearings, drums). The only way the axle would wobble is the leaf springs it is attached to move (worn shackles).
To create a wobble one of the entities that rotate are not sound. Those items are the bearings, kingpins, spindle could be damaged, the bearings are not properly tightened, or the drums or wheels are bent/damaged.
The axle being bent could only change the alignment of the contact pad of the tire. In other words if you had premature wear on one edge of your tire, a bent axle could be the issue.
The only way an axle could cause a wobble is if it rotates like your rear wheels.
