remember that free software is about the *user's* freedom. when the AGPL is applied to a (part of a) program, that means the computing it does is presumed to serve a remote user. it's that remote user's computing that it performs, and therefore it's that remote user's freedom that matters.
it is possible to misuse the AGPL and apply it to programs that perform computing for local rather than remote users. that may have undesirable consequences if, despite doing a local user's computing, that program still interacts with remote users. is this the case you're concerned about?