Does it exhibit these symptoms right at the start of a drive - i.e. when the engine and brakes are stone-cold? Or does it happen after using the brakes a few times? Or randomly after the engine is warmed up?
If it happens even when things are stone-cold, I would strongly suspect a dragging brake. Rust in a brake piston can jam the brakes on one
wheel. Typically what happens is the jam lets the piston move when you apply the brakes - the pressure in the brake fluid is enough to move the piston - but when you release the brakes the excess friction/jam keeps the piston from backing off... ergo dragging brakes on that
wheel which creates heat. The bolts that support a brake caliper are supposed to let the caliper body slide back and forth as the brakes are applied: the piston pushes on the brake rotor while also pushing its half of the caliper away from the rotor, this pulls the other caliper half into the brake rotor.so both brake pads theoretically share the braking load. But if either bolt or anything in the slide mechanism is rusted or cruddy the excess friction causes one side to not release properly resulting in brake drag on one of the two brake pads at that
wheel.
If the brakes are perfectly normal on the first drive of the day (brakes and engine are cold) but starts getting bad once things warm up then I would suspect insufficient brake pedal freeplay or a mis-adjusted brake master cylinder. As the engine bay heats up, metal parts and the brake fluid thermally expand a little. There is supposed to be a little "useless" pedal travel - the freeplay - that makes sure the pistons in the master cylinder are released far enough back to let brake fluid trapped in the brake lines to backflow into the brake fluid reservoirs. If the freeplay is insufficient (i.e. little brake pedal travel is needed to actually apply the brakes) then the brake fluid is trapped... and thermal expansion of things will create pressure in the brake lines, applying the brakes at the wheels. With the vehicle OFF and stone-cold, use a fingertip to lightly press the brake pedal. It should move at least a quarter inch/8 millimeters before any significant resistance is felt. Typically you have light resistance - the spring on the brake pedal itself - and then it hits a mild "stop" or bump and the resistance increases a little - that is when the brake pedal pushrod actually contacts the guts of the master cylinder... that quarter-inch travel is the freeplay.
Do you have one of those hand-held temperature guns like many stores were using to measure your forehead temp during the Covid-19 timeframe? After a drive, use it to measure the temperature of the brake rotors and compare one front brake to its twin on the other side, one rear brake to its twin on the other side. A large side-to-side mismatch is proof of a dragging brake... or of the following situation:
The other thing that can cause odd steering
wheel sensations is the stability control going stupid - thinking the vehicle is spinning out so it applies brakes to just one
wheel to counter the skid. A brain-fried "lane keeping assist" might tug at the steering
wheel but would not cause dragging brakes... just random tugs on the steering
wheel.
mike c.