Years ago when I worked in audio production I would sometimes just sit in my studio to listen to music on my monitors. They're technically not supposed to sound "better" but they certainly tend to sound more detailed. If you're too busy to mix, you could at least do that. (Plus you'll get a better frame of reference for the monitors/room.)
Yup! But in my experience that accuracy made them sound better. I've been out of the game for over a decade, but sometimes I dream of buying a decent set just for this sort of passive listening.
I just got a pair a Kali IN8 monitors last Friday. I play music, and have enough equipment to record, and want to, but I have spent hours just listening to music through them. The fidelity is insane, so if I only ever use them for listening to already produced music, they will still have been worth the money.