Your list of questions is what you should be checking.
The crowbar isn't entirely necessary. Helpful, but not necessary. If you leave the wheel and tire on, that is your leverage. Which way you can get those to more is what leads you to what you need to check closer.
A sway bar bushing, like near the steering rack, would act differently than a missing or broken end link. For one you would hear a knocking type of noise when it left its stock position. It would also still hold the suspension evenly side to side. So you would;t have the wandering issues. An end link or a broken sway bar would allow each side of the car to act independently. I can't say it would allow enough movement to describe your braking/pulling. But the amount of torque steer coming back into play could. This is another discussion the amount of play that is actually there, and amount to be perceived by you. Since I am not driving the car.
You can grab the end links, move them around, see if they move. There is a ball joint on each end. This is where typical garages fail most of the time. With the suspension hanging, the joints naturally get "hung up" which feels just like a good joint. The weight needs to be off the the joint to check them, i.e. even with a car on the lift, you need to jack up the control arm to relieve the joints to check Them. This is also the EXACT same issue with checking the inner CV. Although to check that, its best to also have one working the steering wheel.