It's definitely fun before repeatitivemess comes into play (and that applies to any and every minigame), it's very consistent if you know what to do and when to do it, it's definitely strategic.
Making it MORE engaging would mean making it more complex, wich implies that it would be even more susceptible to the effects of repeatitiveness. The more a minigame is complex, the more it becomes a chore after 1000 times.
This thread is quite fun. Everyone asks for "more!" (as usual) but i still didn't see a sound suggestion on *how* to do it.