The remixers in the OP are opportunists who don't know what they're doing. Dr Luke would have also written or co-written the lyrics and melody. We know for a fact Kesha didn't write the main hook, because it was something she admitted during its release. This instead looks like an old-as-fuq unreleased track some meh remixers had lying around on their iTunes, uploaded to capitalise on free traffic. And people like the OP are falling for it.
I know Kesha hates the whole controversy with the Nate Reuss penned chorus, but it's honestly the best thing about the song.
Amazing chorus even almost 4 years later