First, Ethan Hein has a post and video discussion about rap covers and how, although there are covers of rap songs rappers do not cover each other's work and how there is a norm against "biting" other rappers.
For me one of the most memorable "Major Interpretation" covers of this century was Johnny Cash covering Trent Reznor's "Hurt". At the risk of a digression, the line between major and minor interpretation can depend a lot on reception history. Stripping down a song in terms of instrumentation is one of the patterns that shows up, such as Cash covering Reznor but his example is just of many potential case studies. Anyone remember the cover of "Mad World" by Tears for Fears at the end of Donnie Darko? I suspect that the difference between "major" and "minor" may depend on popular music being what Theodore Gracyk described as "ontologically thick", which is to say that this timbre created by playing this guitar through that amp with these settings through these pick-ups is important. I haven't played the Telecaster in a while but I know the Tele and a Gibson hollow-body have VERY different sounds and you'll want one sound for one kind of song and the other sound for another. But I've digressed pretty early into this post ... .
This is fascinating to hear about because there have been anti-rap polemics that have argued that sampling shows a lack of musical creativity (this was my stance twenty-five years ago when I was a teenager and first heard rap). I have, over the course of twenty years, come to a point where hip hop isn't exactly my favorite style of music but, you will note, I have referred to it as music, which it is. As Leonard Meyer used to put it, a democracy doesn't mean everyone will like the same thing but it means that everyone can and should be prefer to like the music that they like.