Earlier quoted context omitted.
I believe this is what the engines are doing during the majority of the ascent of the Starship SN8 test vehicle[0]. You can see the engines gimbaling very slightly in a circular pattern. [0]: https://youtu.be/ap-BkkrRg-o?t=6516
Anything controlled by a PID can easily end up in a circular pattern, so it's not a given that this was to avoid stiction. [edit] 1 dimensional PIDs can end up in a sinusoidal dynamic equilibrium, and a 2 dimensional sine wave is an ellipse.
(Is there a name for this kind of curve?)