Depends on the person. In general American parlance you may “have a crush” as a teenager, and want to ask them to be your boyfriend/girlfriend. Some people use it to refer to someone that they have unexpressed desires for throughout their life.
Other people use the term similar to your usage where it is much more general. Communicative partners may say they have a crush on someone else with the implication that they would never act on it.
Other people use the term similar to your usage where it is much more general. Communicative partners may say they have a crush on someone else with the implication that they would never act on it.