Although the roles of designer and front-end developer were gradually bifurcating by around 2010, if you were recruited by an agency as a front-end developer, you were still almost certainly expected to demonstrate graphics design abilities, and would often be considered part of the design team than the programming team. It was only really with the rise of Single Page Applications that you started to see front-end development completely shed its origins as a adjunct to a designer's role.
It's true that as those front-end technologies develop, more substantial programming work is being done on the browser side, and so there has been a degree of specialisation in the roles involved, particularly in larger organisations. Even so, I'm not personally a fan of trying to maintain too strict a division between those roles. As with almost anything in a technical field, if you don't have at least a basic working knowledge of related skills and technologies, you're probably not going to be very good at whatever specialist task you're trying to do either. Similarly, if some key decisions and resources aren't managed by all of the relevant people collectively, problems will inevitably creep in for those who weren't as involved as they should have been.
Incidentally, people at our company who have acquired said combination of wide skill breadth with a specific skill depth, got there because one employer or another (not always us) hired them when they were intent on (or already in the process of) a change of role. For instance, someone with a few years in graphics design who, when given a chance to (or being required to) work with HTML and CSS, found that not only did they like it, they wanted to learn and do more, even if that meant transitioning
There are all sorts of questions I have about how that might fit into the arc of someone's career, how it affects salaries, and so on. Furthermore, I do not think it should be the only lens by which to assess people's skills, at the exclusion of all else. It just seems that many of our A-Players, as it were, came into our organization with that sort of skill distribution, or quickly grew to have it.