I don't think having a more modern design could be classed as a unique selling point. Users often aren't that bothered from what I can tell, if you just want lyrics the fact that the site isn't hyper modern doesn't matter as long as the lyrics are accurate.
Its a testament to a site like ohhla.com . I think they've had one site design refresh since 2000, but I don't think there have ever been lyrics on genius that I didn't also find on ohhla.