Hello Linus,
I did the same, some time back, with the oscilloscope. But no matter how high I upped the resolution, there was nothing signal-wise, only tiny voltage spikes (even somewhat random).
But from experience I know that some servos kind of run to one direction at power up, then re-consider (once their software has booted up) and re-center ... and that's been with all kinds of receivers and radios, legacy VBars etc.
More clever would be, do nothing until there is a valid input, and then (even more clever) do a soft start and go there slowly, like some modern servos do.
Kind regards
Eddi
Born to fly ...
forced to work.