It’s very unlikely that vertigo inspired aspirated vomitus could have been an issue. Prior to spinning up, no vertigo. During her high speed spins centrifugal forces would have prevented aspiration and it is doubtful given how long the rapid spinning lasted that if she started vomiting it would only be at the end when she slowed back down. Even if she vomited then, it’s be dry heaves.
The greater danger was losing the hiker due to either being thrown out of the basket or the line snapping after so much twisting/kinking. She did a LOT of RPMs on a cable that was only a few yards long…