I find the baseball analogy useful, a way that I made it work is by referring to the argument as the baseball game itself, along with the pitcher and catcher analogies.

I.e. there is no baseball game if there are no pitchers, and likewise if there is no one to catch!

You need both for a game to go ahead, just as you would need both the premise and the conclusion to have yourself an argument.

For people that like to visualise things in that way, that might help!