This is very likely the satellites attitude control. If the satellite is not controlled it will not just remain in its current orientation but at least rotate slowly. Maybe the solar radiation pressure will lead to a stable orientation after some time (Kepler used something similar and the new JWST has a momentum flap to keep its attitude stable) or maybe it will continue spinning or even speed up due to complex interactions. To keep the satellite pointed exactly at a target precise attitude control is needed.

How strong is the wobble? The satellites are at an altitude of roughly $500\,\mathrm{km}$ [1]. The landing zone is $86\,\mathrm{m}$ in diameter [2]. From the video we can roughly see it oscillating by half the landing zone width. So what is the change in angle?

$$\Delta\varphi = \arctan\frac{0.5 \cdot 86\,\mathrm{m}}{500\,\mathrm{km}} \approx 0.00493°\,.$$

We assume the satellite is roughly above the landing pad for the small angle approximation. This shouldn't alter the result too much.

For comparison the angular size of the Moon from Earth is about $0.495°$. So the pointing precision the satellite is doing here is about as good as if you filmed the moon with your cellphone and managed to shake it so little that it moves less than $1\%$ of the moons diameter.

The satellites are primarily meant to take still photos where a bit of shaking is ok so this stability in the video is still quite astonishing. That being said I have no clue why they did not just stabilize the video in post; cropping the edges a bit.

This is very likely the satellite's attitude control. If the satellite is not controlled, it will not just remain in its current orientation, but instead will at least rotate slowly. Maybe the solar radiation pressure will lead to a stable orientation after some time (Kepler used something similar and the new JWST has a momentum flap to keep its attitude stable) or maybe it will continue spinning or even speed up due to complex interactions. To keep the satellite pointed exactly at a target precise attitude control is needed.

How strong is the wobble? The satellites are at an altitude of roughly $500\,\mathrm{km}$ [1]. The landing zone is $86\,\mathrm{m}$ in diameter [2]. From the video we can roughly see it oscillating by half the landing zone width. So what is the change in angle?

$$\Delta\varphi = \arctan\frac{0.5 \cdot 86\,\mathrm{m}}{500\,\mathrm{km}} \approx 0.00493°\,.$$

We assume the satellite is roughly above the landing pad for the small angle approximation. This shouldn't alter the result too much.

For comparison the angular size of the Moon from Earth is about $0.495°$. So the pointing precision the satellite is doing here is about as good as if you filmed the moon with your cellphone and managed to shake it so little that it moves less than $1\%$ of the moons diameter.

The satellites are primarily meant to take still photos where a bit of shaking is ok so this stability in the video is still quite astonishing. That being said I have no clue why they did not just stabilize the video in post; cropping the edges a bit.