Alright, so actual stutters. Sorry about that, too many people use the wrong terminology to describe their issues. Better to confirm and avoid going down the wrong road.
So, I have 3 questions after that video (thank you for that, an image is worth a thousand words after all).
I notice keyboard keybinds in that video. So the issue happens regardless of your controller?
You have mods installed. Can you post your mod list here or is it the "too long" kind of mod list?
One thing you have to understand is that your mods make any kind of troubleshooting that much more complicated since your issue might very well be caused by them.
So unless I'm mistaken, the only instance of it happening in that video is when you moused over that first Maxdoc at 0:02, right? From what I'm seeing, it's not actually when you loot but, in fact, when the game loads the item's description. The sound crackling would happen because the game is stuttering from loading that description when you actually pickup whatever item it is.
Is it always this way or is this inconsistent?