I like this but i find a safe spot in the middle.
I would remove the insta death on the branchcess instead simply make them stop you fall, making you waste secs and so you can make the bird move and fall again, the funies part its at the beniging the dumb way the bird fall catch my off guard, them the end when i reach the floor i still has 25 sec to fools around, making that dumb looking bird roll form a side to the other, i need more of that much more hahahahaha.
That aside put the camera in a way ther bird remain more on the top of the screen, so the player has more time to see and react to the branches.
The warinng were a good idea its mitigate this problem enough for a single level, but if you add more or in a longer freefall, it not gonna be enough