Absolutely. The risk of putting load on the engine before the moving parts and oil have reached operating temps is far greater than the threat of tiny amounts of gasoline washing residual oil from the cylinder walls or thinning the oil.
The only risk described here applies to prolonged idling only and is a long term risk mitigated by reasonable elwarmuo and oil changes. The short term risk is the rotating assembly and value train is far more immediate.
Fuel injection has convinced people that they can just jump in a cold car, fire it up and be fine. Doing so, especially in extreme cold is just incredibly damaging.