Hello Copperknickers,
While I agree with you on the fact that there is a gap in recognition between popular culture and "highbrow" culture, have you taken into account a) the rates at which new works of art are created and b) the lasting effect each work is wished to have ?
As much as today's bestsellers (be they musical, literary,etc) may deserve the recognition and success they get, the fact is, imho, that culture today can also become a product meant to be quickly consumed and forgotten.
The reason I say this is that I find it hard to imagine that some recent popular works won't be completely forgotten in, let's say, a hundred years' time, unlike the so-called high culture.
Another point I'd like to mention is the relation between 'effort spent to understand/appreciate' a work, and lasting interest for said work. In other words, the more effort you put into studying and understanding a novel / song / etc., the more its value will sink in for you, and consequently, you'll be able to enjoy it for far longer. On the other hand, (to be grossly extreme), you have songs that are computer-made with a double serving of auto-tune, which are popular for a week / a month, and then (gladly) forgotten.
All this to say that, yes, there is a snobbery problem, (and it sadly doesn't seem to be going away, on the contrary), but the gap aforementioned has some grounds.
Cheers,
Xavier