Thinking about MotoGP bikes where they have found lack of frame flex decreases tyre adhesion over slight bumps, does the same apply under some conditions (like bumps with a loaded suspension) if you have too stiff a chassis on a car?
Not sure that applies to cars in the same way, because, as I understand it, the frame flex required in bikes is related to lean angle. And they are reaching some massive lean angles these days. 64/5 degrees in cases.
So a bikes suspension works in a vertical plane, same as cars, but, as the bike leans over there's a sliding scale of decreasing travel verses an increasing scale on bump height. By that I mean, the more the bike leans over the higher the bump becomes along the new ANGLED plane of bikes suspension travel as its leant over.
Effectively. Lean the bike over far enough, approaching 90degrees say (hopefully not or the rider has binned it

) and there will be zero suspension travel in relation to bump height of the roads in perfections, and your then looking at frame flex to absorb the bumps.
At the rear they look at swing arm flex to achieve this. Massively braced up and down, but thinner side to side when viewed with the bike vertical. The idea is that its incredibly stiff in the direction of suspension travel, with slight flex in the side view to help with lean angle. Up front the frame sections forward of the engine mounts do the job there.
....afaik anyway.
Apart from anything else, cars lean the wrong way in a corner. Where as bikes lean in obviously. Much better. Forcing the tyre and suspension into the floor, increasing grip level as it goes. (Ignoring the all important direction of gravity for a minute, which is most inconvenient) It's not really something road riders will encounter, until they get into competition and slicks that generate serious grip levels, and the lean angles go up. Or down, depending on your point of view.
The way round it, to a point, is for the rider to,pick the bike up in the corner while maintains body position. It's often described as hanging off. Hence the knee and elbow down styles we see these days. If they kept bike, head and body in line with lean angle, they'd ride off the edge of the tyre first off, and second the suspension would become less effective over bigger bumps, and frame flex plays more of a part. It's also another reason why a higher tyre profile/smaller wheel sixes are used, so it can deflect and absorb bumps a bit more. Tyre being the first point of suspension

That's my understanding of it anyway. Not saying its correct mind. Just how I understand it.