I think, it will boil down to your definition of "asymmetric".
If you see camber as part of the setup, then I would say running "symmetric" would be the exemption rather then the rule.
Now, I can´t speak with any autority about F1 setups, but in other roadcourse (normal race tracks) based series, camber angles are seldome equal left to right IMO.
You could argue, as vertical tyre stiffness changes with camber, that this has some implications in terms of vertical ride rates, defacto making the car "asymmetric" as well.
I my field it´s rare to see, different spring/damper rates left to right - but not unheared off.
Same goes for unequal wishbone length, and motion ratios (the former is banned in my case).
Ride height differences left to right, and unequal corner weights are pretty common, mainly in cars which have the
CoG offsetted to one side.
This is a smaller issue in F1 or most other single seater cars, with a rather symmetric layout/weight distribution.
Different tyre pressures left to right, front to rear, are pretty common, and also effect effective "ride rates".
preloaded/twisted ARB/sway bars are somtimes used to increase performance in one direction/ one particular corner on a track, same goes for corner weights.
on cars which use a "live rear axle" ( not F1 ), you may see some asymmetries, to offset "torque reactions" from the engine.
bumsteer/roll steer is sometimes used "asymmetrical" to aid vehicle performance at different parts of the track