If you do watch the eclipse, take note of whether it comes from the East or the West on the moon's surface. Sometimes it runs contrary to RET.
The direction in which the shadow moves over the Moon is entirely dictated by observer position/geographical location
Physically, it moves from right to left behind the Earth (if viewed from a point between Earth and Sun), but observers on or close to the equator will see/saw the shadow move from top to bottom or vice versa, whereas those at the poles will see it move from L-R or R-L depending on which pole they are at.
Something that moves from East to West will not move from West to East from a different position.
If E-W is Left to Right for a person standing upright, then it will be Right to Left for a person standing on their head.
The physical direction is unchanged, but the observation is back-to-front.
An observer at a perpendicular to the Moon's orbital plane will see it move from their right to left, with the shadow first appearing on the left of the Moon
An observer aligned with this plane will see the Moon move from their feet to their head, with the shadow moving onto the top of the Moon first, OR move from their head to their feet, with the shadow encroaching from the bottom
No?
In response to a YouTuber who could not fathom why, when viewing from Florida, the 2018 eclipse appeared from the top of the Moon and not the bottom, I made a video. All I got in return was spurious comments about the observer figure not being to scale, or me not using a ball to represent the Moon. Let's see what you think