The grid in the Boostrap 3 is pretty useful if your requirements are for a responsive layout. It really makes it pretty simple to get things going, but does pollute your html with a lot of cruft as you sometimes need to define each size within a single class attribute.
One other thing I've found is that it makes the site more maintainable, as it's easier for others to understand your CSS and layouts. It's the equivalent to being able to hire a Java programmer that knows the Spring Framework (they're plentiful, and usually know enough to not break things). The same is the case for Bootstrap. By having a common and popular framework, you have more developers that can jump right into your front-end quickly.
Also, it's easy enough to customize[1] to get only what you need. If all you need is the grids, just remove everything else. No need for the js components.