I agree that the term "REPL" is poorly chosen, since read-eval-print-loop equally applies to a Bash prompt. But in this case, it's even more than hot reloading, because you are making changes in the running application, not just in the saved source code.
With hot reloading, you can change the appearance or behavior of a button and see it reflected immediately. With a Clojure REPL, you can do that but also load in different data, trigger actions, etc.