What form version is LogRocket using here?

Is this lock/hosted/universal?

The auth0 options/naming are kind of confusing tbh

Looks like embedded Lock.js (self-hosted).
If you want to achieve the same look & feel, it doesn’t matter though whether it’s embedded/self-hosted or Auth0-hosted (Universal Login Page), as you can customize it in any case and it could/would look the same. Why the question? Maybe I can provide a better answer.