I sort of get that but does this hypothetical system not have a c compiler? If it does, you can compile and install lua in probably under 5 seconds and actually have a sane language with respectable performance to target.
It also seems odd to me that a place that would be so rigid about installing a tiny language runtime would be ok with checking in the artifact of an experimental programming language.
GitBash is a POSIX environment that includes the titular bash, and it doesn't include bc, which is a direct counterexample to your original assertion. Lots of people who are stuck on windows for one reason or another still want or need to use bash, and that's why they use GitBash!
Clearly, if Amber did not have a dependency upon bc, it could then potentially provide value to those users.