Weird as fuck, but fun. There are more enemies in the desktop version? Ouch!
The beginning is a bit too much for my taste, I just wanted to test the controls and suddenly they were all over me :D Jumping is bit weird and I depleted the boss health with no effect three times than I gave up.
What I missed was a possibility to evade attacks. You are pretty helpless and shooting really isn't enough, so one is bound to lose health, which is a bit frustrating. And as you can't defend otherwise, I think the only strategy that is wise, is to hold the fire button permanently. Maybe you could have added a little more conflict/ a decision there.
Anyway, nice job.