The difference I’m going to draw between objections and refutations is actually quite simple, arbitrary, and unique to this blog.
An objection is any critical remark made as a comment on this site, and thus any answers Sarah, Lauren or myself may make are defensive by default, and are posted as pages.
A refutation is any critical remark Sarah, Lauren or myself may make on another site, and is thus offensive by default. Refutations are posted as posts, for easy access by the refutee.
In real life semantics, the above terminology is not applicable at all. I only point out that I make up these words because it makes my organization system on the blog a tad bit clearer to viewers.