> Even if a song you're listening to is flac, if the recording was shit then it won't sound good with revealing headphones.

This is sort of true? Depends on what is wrong with the recording, and what is meant by revealing. There are headphones that make specific recording mistakes really stand out (Beyerdynamic DT880 for example), but that is because they have treble spikes in specific regions that help detect that. Those headphones can make it straight up punishing to listen to a badly made record. Well tuned high quality headphone will still enable you to hear those mistakes, but it should not punish you.