Skeleton is made to scale to also fit mobile browsers, following the principles of responsive web design. Does Bootstrap offer the same?
Mobile-friendly has many meanings. Bootstrap is responsive, which is a mobile-friendly attribute. It's also extremely heavy (it's designed for applications) - which is not mobile-friendly, especially for websites.
The Yahoo Pure framework is about 1/10th the weight, and provides the same feature set for websites. I'd suggest something similar over Bootstrap for a mobile website.