But that's the wrong question.
The better question is: What percentage would want to be either full-time or part-time employees?
I would imagine the percentage would be much higher.
When classified as part-time employees, they'd have much of the same flexibility they currently enjoy, but they would at least be covered under minimum-wage laws, same as part-time workers who work at McDonald's or the grocery store.
If Uber/Lyft don't think it's financially viable to offer its workers the same bare-minimum protections that a McDonald's worker gets, then I don't see how it can claim to be a non-exploitative business.