My thought on the topic is that obviously there is some confusion when it comes to the nomenclature where UX and UI Designer are used interchangeably. That’s wrong.
And another thought is that, unless you want to be a UI Designer, don’t do the assignments that involve creating beautiful interfaces. UX is about usability, not about interactions in the sense what color hovered button should be (correct me if I’m wrong). I know I’m limiting myself in my search but I pass on these tasks. I want to do UX, not UI.
And I had an opportunity to take part in the best job interview ever, where the company was searching for a UX designer, asked basic questions via phone and invited me for the interview. They wanted to see how I think so they asked questions and gave me exercices during an interview.
And a disclaimer. If anybody read my post in a topic that talked about being a generalist, I’m past that phase now. I’m thinking about specializing, even though wide scope of tasks is sometimes nice too.