http://dbd.game/killswitch
Make Deathslinger 115% movement speed when not reloaded
So I think it is safe to say that Deathslinger is not a top tier killer & has a power that doesn't seem to fully justify his 110% movement speed. While I get his gun can capture survivors before reaching a loop, it generally does a poor job at this because the instant a survivor can make a loop the smart thing for them to do is just drop the pallet. In most cases, this makes his power rather useless unless he can finesse a mind game or break the pallet/catch the survivor by a window.
But even when he catches a survivor, he hits them which grants the survivor a speed boost away from the killer. Then he either chases after them without a loaded gun or gives them more distance by having to take his time to reload. While I personally think he needs his default reload speed increased as well, I think the least you can give him in this scenario is the option to move at normal killer speed as long as his gun isn't loaded. Not to mention that every missed shot of his is super detrimental as he either gives the survivor time to flee as he reloads or he chases like a brain-dead Hag not using traps.
I would also like to note that if a change like this were to happen to him, I would also change the add-ons that increase/reduce his TR if he is holding down his sights or not. It would be much more useful if they were just dependent on if his gun were reloaded or not. At least then he wouldn't have to pre-aim & move in slowly to catch a survivor that's most likely going to see him coming anyways. He could just walk on up & do a quick shot to a survivor, hoping they are somehow unaware of him coming for them.