Exactly! I'm working on some stuff now to exploit this very effect, the small time difference in the bands can be used to find velocities of moving objects.
Parallax based Cloud Detection for Sentinel-2 Analysis Ready Data Generation https://www.researchgate.net/publication/332999809_Parallax_...
Aircraft Detection above Clouds by Sentinel-2 MSI Parallax https://www.mdpi.com/2072-4292/13/15/3016