99.999% of what I listen to on Spotify is older than a few weeks, so for listeners like me, no.
I'm the same, but if you look at the most listened to lists they tend to match the charts pretty closely. There's probably some kind of long-tail effect with Spotify, but a lot of people use Spotify to listen to what's popular right now, and I'd probably lump deadmau5 in the "popular" category.