I have pretty good headphones (Sony MDR-V6). I can hear decently enough (although getting older). Like I noticed that the Deutche Gramaphone 111 years music collection I bought (256kbps mp3s) has taped performances from the 70 & 80s which have some tape his.

Honestly as an end user its really good enough. If I was remixing this stuff and processing the audio I would want the non-compressed. (similar to shooting Raw photographs ). But at 256kbps honestly it really is amazingly good. thinking back to cassette tapes and records, its astonishing.

As for the tape hiss on the classical music, the performances are so good I just ignore it. Sometimes I think people get worked up about the quality of the recording and ignore the quality of the performance.