Except the Babylon Bee always writes satire and nothing but satire. It's not like they publish some serious stuff and fail to properly delineate factual vs. satirical reporting, they publish satire only and the "about us" section makes that clear. Your analogy attempts to demonstrate that the site is "playing both sides" and claiming to be factual and satirical, when that is clearly not the case.
It seems to me like they write some things that are obviously satire, and some things that a reasonable person would have a hard time differentiating from non-satire. This is what I'd expect a propaganda outlet utilizing the strategy I described to do.
