It's no use being pedantic if you're not going to be correct.

> This is a pedantic point, but that's not really what the definition of compiler is as much as a common understanding of it. By definition, it just translates one language into another

The history and etymology doesn't support that definition, either; that's just another "common [mis]understanding" of the term. It's in the name. A compiler produces a compilation—an aggregate of multiple subroutines, including user-supplied ones and some by the system/programming environment, transformed into a single program for a given target.

(You're describing the process of "autocoding", a job that every compiler does, and a term that predates "transpiler" but that no one uses because they favor stretching the more frequently encountered term "compiler" for their use case.)