Codecs are pretty normal code. You can get decent performance by just writing quality idiomatic C or C++, even without asm. (I implemented a commercial x.264 codec and worked on a bunch of audio codecs.)
Not really a fair comment. They are entirely normal code in most senses. They differ in one important way: they are (frequently) perfect examples of where "single instruction, multiple data" completely makes sense. "Do this to every sample" is the order of the day, and that is a bit odd when compared with text processing or numerical computation.
But this is true of the majority of signal processing, not just codecs. As simple a thing as increasing the volume of an audio data stream means multiplying every sample by the same value - more or less the definition of SIMD.
Think encoding or decoding non-overlapping parts of a video.
That means you have to stick to inside the current block. But there are some tricks; like for an IDCT there's a previous stage where you can rearrange the output memory elements for free, so you can shuffle things as you need to fit them into vectors.