Yes up to the time of the COT standardized chassis, there was concern that the front structure was too stiff, which is great for vehicle handling but not necessarily crashworthy.
Now that design is standardized.
I’ve seen crashes of 50’s era Indy cars that rolled down the track like a hot dog on its side. When they came (rolled) to a stop it looked like a little suspension work would get them back on the track, but they’d need a new driver.