Despite your condescending tone and obvious pride at the ability to add, I might point out to you that you're essentially saying that purple and trees are somehow correlated.
EDIT: Let me further illucidate the problem for you. What lots of people like = popular. Now of course, you're going to make that age old argument that no music is better than another. I beg to differ. There are many bands out there without the semblence of a clue how to produce. There are others who utterly lack structure. Note that I imply the presence or absence of structure, and not the necessity of a pre-defined acceptable set of structures such as verse-chorus-verse. But disorganized lack of structure, or the obvious use of a structure but a failure at the attempt, these things are more than just subjective. Compare an excellently produced masterpiece album with something I record on a webcam mic and Microsoft Sound Recorder. Again you could make that pathetic old cop-out argument that music is inherently subjective, but that only applies when comparing elements of the same type. People have differing tastes in music. People have different ideas of what good production is. But there are borders. And those borders should be obvious to someone who can add. Since all music is NOT subjective in the sense that I am arguing, which should have been common sense from the start, "Good" or "Better" music is NOT synonymous with "Popular" music, or that which everyone likes. Futhermore, it is not asynonymous. As you cleverly stated, some popular bands also fall into the good category. Therefore my dear Watson, Good and Popular are neither synonymous or asynonymous, and thus are unrelated descriptive modifiers.
And for the record, anyone who says "all rap is crap" is either A) an immature young adult who will soon grow out of their ignorance or B) someone who has never taken the time to actually search the plethora of rap artists for the cream of the crop.