Yes, people adding a UX to their title has indeed been used to imply a user-oriented approach to the field of design. In a sense, that’s exactly how “UI/UX Designer happened”. Visual designers with no training in usability were developing very pretty interfaces that wouldn’t convert. Someone with a UX on the end of their name implied they had a bit of training around conversion funnels and value.
What’s remarkable is that there was such a thirst for the approach that the title replaced “web designer” almost overnight in the mid-2000s.