…here the shadow effect is right out of the back of the plane, so the contrail won't have had time to deflect.
This is not correct. A wind across the aircraft heading will always result in a small angle between the contrail(s) and the heading. It also would result in the same angle between the aircraft long axis and the actual heading. Therefore, although the contrails would appear to be aligned with the aircraft axis, they won't not aligned with the aircraft heading.
What matters the most in the OP case is that the engines' contrails were observed at the sunset, when the Sun was at or even below the horizon. At this moment, the incident sunlight was practically horizontal, as the contrails were. In this situation, the trails would be illuminated unequally: the trail closer to the Sun would be brighter, while the other trail would be partly obscured by the sunlit trail. I previously have observed similar sunset contrails, where the obscured trails looked notably darker and sometimes redder. Here is a fresh example: the photos of the CLX776 B747 contrails that I have taken today just after the sunset. In the beginning, in the southeast side of the sky, the frontlit contrails appeared darker than the sky:
As the plane moved crossed the sky first to the south side, the trails got lighter:
and then they acquired some colours in the west side:
As one can see, the trails from the port engines were closer to the Sun (and the bottom of the picture) and brighter than the starboard engines' trails, in particular, the inner engine trail.