As a drone racer I have some experience looking through a camera, and FOV is by far the most important factor. When you change the lens and FOV you need some time to adapt, higher FOV means things wich are far comes to you pretty fast because you only see them when they´re
close, while narrower FOV let you see things wich are far sooner, so you see it coming to you
slower and the sense of speed changes dramatically. This added to the sides of the screen wich are closer to you because the higher FOV let you see things wich are just at your sides instead of some meters in front of you change the sense of speed
This video is a good example about how higher FOV does affect speed feeling
Even when rolling shutter is too bad, that´s easily solved with a damped mount, or with a better camera with global shutter instead of rolling shutter
Probably frame rate is also playing a role as the old video looks
jumpy so probably a slower frame rate. But FOV is the main difference, it´s much much narrower with current cameras, even when 16:9 vs the old 4:3 is masking this difference (higher horizontal FOV for same lens), wich is the reason current cameras are headed downwards compared to the old ones, much narrower FOV wich in the horizonal axis doesn´t look that much narrower, but in the vertical axis the difference is a lot more obvious so they need to compensate pointing a bit more downward
Basically with narrower FOV you can see better, but the feeling changes so much I think they´ve ruined the great feeling of onboard cameras, they look slow even at 350km/h!