That is correct, without power assist, very fancy driving may be impaired, but the general direction would be determined by the driver.
The problem comes when the car becomes airborne from a bump or rise in the roadway due to excessive speed, and the road turns out from under it.
Two of my friends died from meeting trees along side the road this way.
An increasing number of vehicles now use an electric power steering assist system. The most obvious purpose is as part of the “auto-parallel-park” systems, but even cars without that gadgetry have the (presumably computer-linked) electric steering hardware. It’s on-track to replace the hydraulic assist systems, at least in light-duty vehicles.
I remember back in the 60s a buddy of mine hit a pretty small tree (maybe 8 inch trunk dia) with an Olds 4-4-2. It absolutely clobbered that car and put him in the hospital.
See my previous post.