These days I stream pretty much exclusively, and I generally use random play from my huge libraries. So I come across all manner of recordings in one listening session, certainly there are some recordings most would consider bad but between my system and the random play mode I only have to put up with a single cut from a bad recording. If I were playing hard copy likely no chance album or cd makes it to end.
I do believe one can assemble a system with both high resolution and remain musical however. I've always assembled systems by voicing them with mediocre recordings, the one's I'd play during any listening session, this also inherently 'helps' the lesser recordings sound better than they would otherwise. Having said this, I can't recall a single album I've cut from my streaming libraries due to poor sound quality. I will say the single most bothersome thing in poorer recordings are those suffering from the dreaded volume 'wars' syndrome. Mostly this modern commercial recordings which thankfully don't interest me in any case. The types of compression I hear from older recordings not so bothersome.
Probably even more consequential than the recording quality and my audio system is how I've trained myself to accept recording qualities for what they are, a less analytical, judgemental mindset goes a long way!