The rockets explode upon impact. Ain't no pushing those things back. The web is not penetrating in nature. It specifically says that it's purpose is to stick to things and hinder their movement. As solid as iron, sure, but it's no bullet, and would react poorly to an explosion going around in the midst of it. Again, just because an ability is charged does not make it a universal tool of destruction.

And of course I'd insist on the two projectiles meeting half-way, you make it sound like doing so lacks sense. They launched at the same time, so they reach the same amount of space. If we were to go at it in technical terms, the rocket would have gone even further. You keep telling me I should change my post according to the charged attack, when you yourself failed to specify in your own post that it did anything other than blow up upon impact with the rocket. I quote; "“How droll.” The Archivist muttered watching his net-like web collide with the rocket in mid-air. It wrapped around the projectile and exploded, far closer to his demonic foe than the spider himself." 

I'm going to continue to reason that he's not going to be deafened by the explosion. Firing the Hellzooka without earplugs would produce as much, if not more noise, due to proximity to his head, against him. Since he's not getting deafened by that, it's reasonable to assume that he has at the very least a moderate resistance to loud noises of that nature. Even if he did not, temporary deafening and dull ringing as a result of a loud noise is not guaranteed; There's just a higher chance of it occurring. 

At this point I suggest we get a ruling.