Learning to sight-read is different than just reading. Sight-reading takes an enormous amount of daily dedication and practice for years to get to even an intermediate level.
I don't recall it being that difficult to achieve. Probably the difference is in early teaching and expectations: if you learn to read music as an aid to remembering pieces that are perfected over a long time, sight-reading would be slow to develop, but if you learn it as a way to be able to play new music frequently, it will come more quickly. Probably like the difference between learning a foreign language by studying grammar and working translation exercises as opposed to on-the-fly immersion — you develop different strengths.
This is a great perspective that I hadn’t considered before.
My previous experience, years ago in high school, was absolutely the former. I think it makes tons of sense to try playing a wide variety of pieces at my skill level.
I am just beginning to learn piano and when I told my teacher that I was memorizing the pieces I was supposed to be reading, he told me to simply play each piece once, mistakes and all, and continue on to the next - specifically to practice playing a piece on first sight.
I think the distinction is one of degree, not of kind. "Sight reading" is just reading music and applying it to an instrument or voice, in real time. It's a natural outgrowth of learning to read music. I'm a very good sight reader, and it didn't take me anything like years of daily practice. (Which was a good thing, because I have no practice discipline.)