Ideally a completely rigid chassis would allow the suspension to function exactly as it was designed to. I think having a stiff chassis is paramount for racing on carpet, especially with foams.
On ashfault, I would think a small amount of flex would be acceptable, as it would help the car grip a little bit more. Personally, I would still go for a rigid chassis for ashfault, but I don't think the rigidity affects the car so much as on carpet.
I agree with what you said - a flexible chassis will make the car feel easier to driver, but it will not actually be faster. In my opinion, if you want to make your car easier to drive, you should make changes to the suspension. This is just what I would do, because I know what changes I made and how they affect the car.
- Josh