It is demonstrated that collisional plasma transport is intrinsically ambipolar only in magnetic configurations that are quasiaxisymmetric or quasihelically symmetric. Only in such configurations can the plasma rotate freely, and then only in the direction of quasisymmetry. In a nonquasisymmetric magnetic field, it is shown that the average radial electric field is determined by parallel viscosity, which in turn is usually governed by collisional processes. Locally, the radial electric field may be affected by turbulent Reynolds stress producing zonal flows, but on a radial average, taken on a length scale exceeding the ion gyroradius, it is determined by parallel viscosity, at least if the turbulence is electrostatic and obeys the conventional gyrokinetic orderings. This is different from the situation in a tokamak or a quasisymmetric stellarator, where there is no flow damping by parallel viscosity in the symmetry direction and the turbulent Reynolds stress may affect the global radial electric field.