That's how actual beta testing is supposed to work and how it worked before the days that Netscape came up with the concept of "open beta." Beta wasn't supposed to be something in general release or a way of tagging something to indicate that it might have bugs. I assume that Lucid has actual beta testing in the traditional sense, which used to mean having a person coordinating things with the beta testers and assigning them specific things to test out. What's also needed is a specific feedback mechanism where users can report problems. In a real beta test, there's an NDA so you wouldn't hear about it from testers, nor would you hear about problems they encounter. Disclosing things would mean getting kicked out of the beta program. So if they have what you are looking for, except for asking for volunteers, you probably wouldn't hear about it.
The incentive for beta testing typically used to be that the person would get a copy of the software or upgrade at no charge when it went into general release, but that's irrelevant with respect to the current paradigm. These days, it would just be early access. It also meant getting free hardware in many cases when that's what was being tested, but I don't imagine that an automaker would do that.