The real value for me is just being able to sit down and start. The odious first impressions of tailwind are true. But try it out. I like it because I don't waste time flipping back and forth between my document and a style sheet. I don't waste time thinking of clever class names. I don't wait a second to compile css and refresh for every small change I make (even though developer tools have been helpful in this regard, you can only make so many changes at a time). I still break it down into components later but the actual design process is more fluid.

Buttons are sort of a pathological example. Most components in a web app are container-like things, with collections of a couple of buttons and other things that need to have a cohesive look, internal and external positioning, etc. And how often do you end up with one large, crufty CSS class for each of those, or a handful that are closely tied to each other and the markup anyway? Frameworks like this allow you to easily move that gunk from the CSS to the HTML.

The secret is that a solution where typical CSS classes are the exception and not the common case, is generally more useful.