I had A/B'd the Chord 2 Qute in my systems against my (now ancient) Threshold DAC 2 and Threshold DAC 1/E. It was equal to the former and very, very slightly bested the latter. I also have listened to store systems with the Chord D.A.V.E. and thought them no better than mine.
So, the answer to your question is : No, you don't need anything better than 24/44.
So, the answer to your question is : No, you don't need anything better than 24/44.