Barakta's input might be useful here.
She's onna train fleeing the sun at the moment, but...
Barakta has her handlebars set in different positions to compensate for her asymmetric reach. Consequently, the left bar hits the edge of the seat sooner than the right, so she's got a wider turning circle when turning left. She may take her left hand off the bar for full right lock? But that's fine on a trike, and all her controls are on the right.
While she can technically ride an upwrong bicycle, it's painful and unsafe, so I don't think she's done enough of it to develop a preference. She sort-of fits the streetmachine, but only when sitting up out of the seat due to lack of reach to the bars. I reckon she might have more luck with the Red Baron's tiller steering, which is ridden with elbows bent, but she's not keen to fall off it (and I'm coming round to this point of view).
She had an adapted upwrongular trike when she was a kid. Don't know if she had a turn preference then?
Cycling aside, she likes to keep things on her right for hearing reasons (her original BAHA implant is that side, as it's the side with slightly better hearing and easier to reach with her good hand - most of the time she doesn't bother with the second BAHA), and will position herself to the left of a group. She also habitually tilts her head (we reckon due to a combination of Duane's and lipreading), but I don't know what, if any, effect that has on moving around.