The phrase "bear analogy" can be swapped with several synonyms to convey the same meaning effectively. It can be referred to as a "metaphor," which implies an indirect comparison between two unrelated objects or ideas. Another option is "simile," which denotes a comparison using the words "like" or "as." One could also use "allegory," which conveys a story with hidden meanings beneath the surface level. An "example" is another alternative, which is a demonstration of a concept through a real-life scenario. Lastly, it could be called a "parable," a short story that imparts a moral lesson.