script was main inspiration for asciinema. I read its source code many times, and in the very first version it was used for recording. However on BSD based systems (and so on macOS) the shipped version of script doesn't support writing to a timing file, which pretty much killed it there.

Anyway, if you're only interested in replay inside a terminal, and you don't care about sharing the recordings on the web then reaching for script first is my recommendation. However, if we forget about the web part, there are still useful things for local workflow, like idle time optimization, pausing/stepping through recording and a single recording file instead of 2 (if you record timing info with script).