Yes there's a bit of slack and elasticity all the way including in metal parts, not just in tires. Still, even though the tire tread doesn't move right away the

Yes there's a bit of slack and elasticity all the way including in metal parts, not just in tires. Still, even though the tire tread doesn't move right away the moving rims are immediately exerting force on the tire interior, and thus there's an instant converse force from the tire interior which resists the movement. In any case, this vehicle has rims and tires; what's being discussed here only adds lag to the existing system, which appears to be several orders of magnitude higher than the above physical process. But what's apparently worse here is that there's no link (whether physical or digital): the video shows the driver has moved the steering device all the way to lock yet the wheels are only halfway through and then continue moving towards lock in spite of the steering device being completely still.