Yes, because it's much better to explode everything than it is to explain to Alice what's going on.
Look at that face Alice is making. Is she even going to believe what Yuuka's going to explain if Hourai talking was denied so easily? This is "cool your head down first and think it through".
Because Hourai...Hourai is my...WoooooooshAbsolutely amazing...Even now, you still don't understand a damned thing...