(I just wanted to answer the title, so I had to make all this stuff up. The parting line really did suck though)
The quicker I go up, The sooner I’ll go down.
That's because you're a stupid toy; inflatable punching bag clown.
I’m a weave of edges,
Hitting the parting line on the side always kinda hurt. Watch out for the bob and weave, yo.
A center of wholes.
Inside it's just air. The whole center is a hole.
I’ll die of exhaustion,
Literally, because all that's inside is air. These toys last about five minutes. It will happen.
Some say a love immature, And color the cheeks, In a passion untold.
Most people say they abhor violence, and would call those who don't immature. The passion untold is the unwillingness to disclose the elation experienced while committing acts of violence. With their animalistic instincts laid bare, likely they will blush.