Overall, the feeling of movement is great, I really liked zooming around the map. However, having the camera drag behind the player felt odd since I actually wanted to see what was ahead when moving instead of behind.
Regarding the shooting, it also feels good, mostly due to the drag of rotating and the sound effects behind it. However, I do think the bullets de-spawn a little bit too soon, which defeats some of the purpose of hunkering down with the chains.
The hooks and chain did feel a bit weird though: I understand the idea of switching between shooting and moving, but the chains kind of defeated the purpose of hunkering down on one place and shooting since they allowed movement either way, which got in the way of shooting. It's almost as if having the chains or not would lead somewhat to the same effect in terms of gameplay.
Regarding the theme, I actually had the same idea :)! Only in the end did I notice that there was a ship following the player, and that it was supposed to be the "live transmission" of the action. Felt the "yay" sound effect was a bit out of place until I saw that. But since it was just a kind of justification on the reasoning of the score going up, I also felt it didin't explore all too well the potential in the game idea and in the theme.
Nonetheless, it was really fun zooming around in space, and there's definitely potential in this run and gun idea!