As you know, classical music is layered. It can be scaled for different sized orchestras, which can be akin to tessellation in graphics. You can add more nuanced scores or details if your orchestra has enough members. Of course this has a limit, which is the full score written by the original composer. Similarly, you can remove some layers or simplify the piece if you're smaller orchestra without compromising the piece.
What I tried to say is, if you've listened the piece from or performed with a relatively big orchestra, you'll know that which instrument shall be there, where the small optional triplets are, how the piece should sound or where's that little oboe shall come in, where the little cymbal adds that little crash, or how the harmonics affect each other and create that atmosphere.
So, you'll notice something is missing or off or not as it should be especially in the high end. Classical music has a lot of perceptual tricks under its sleeves to create a specific ambiance and sense of space and most of this lays in the higher end of the spectrum, and they get shaved off first with lossy compression.
Hope this helps, because it's something more felt than can be said with words, how you can't really hear the double bass but feel how it's there. It's that kind of perception.
Edit: Just wanted to add that one musician's or orchestra's specific style of course will be different, but a good orchestra is very faithful to the original score of the piece. Even if an orchestra is playing a little fast or more aggressive, or a simplified version, base instrumentation and atmosphere is the same (as long as the orchestra is not doing Metallica S&M style play the right thing with wrong instruments kind of deliberate arrangement).
Another extreme example would be the band Pink Martini. They have an on-stage audio magic which allows them live with the exact sound of their studio recordings, albeit live. It's surreal to experience.