Is looking at non-mahram women forbidden even if it is without lust?

Looking at foreign women is forbidden, even if it is without lust. The only exceptions are the first glance and what necessity dictates. The evidence for this is Allah's saying: "Tell the believing men to reduce [some] of their vision and guard their private parts. That is purer for them. Indeed, Allah is Acquainted with what they do. And tell the believing women to reduce [some] of their vision and guard their private parts." Furthermore, the Prophet, peace and blessings be upon him, made lowering the gaze a right of the road, and he did not restrict the prohibition of looking to cases intended for lust.