Yes, Figma is the de facto standard for how designers hand off a UI design to developers in large (and some small) companies.

It's kind of horrible, but I guess it's better than previous alternatives. But, it's not better than a tool that works with code directly and mostly automates away the tedium or translating a visual design into code. I haven't tried Claude Design, but I know I don't find Figma enjoyable (but I'm not much of a designer...I'm more comfortable with code than with pages and pages of options in a GUI).