I haven't tried every brand of rest, but I have tried every style, and converted a few before the NAP drop a aways came out. I currently use a muzzy zero effect and a drop zone. The drop zone is about to get replaced with a simple prong rest.
Will they make your rest more accurate? Most likely not. Depending on the rest you use it may make it harder to shoot. Some of the drop a ways use a slight overdraw in order to clear the shelf when they drop. Like the muzzy and drop zone. Any time you move the pivot point of your arrow away from your grip it can make your bow less forgiving. Accuracy is a subjective thing though, it really depends on how good your form is. Truth be known you could shoot off the shelf if you used feathers and be accurate if you could shoot well enough.
What they will help with is fletching clearance. If you have skinny arrows and want to shoot large fletchings with a helical or lots of offset they work very well.
My honest opinion is if you are going to spend 100 bucks on a drop just because you heard it will make you shoot better save your money. It may make you shoot better for a week or so, because it could boost your confidence or something. Then again it could make you shoot worse because you changed your set up. Take it from someone that likes to tinker and change things, it DOES NOT help your shooting any

. Consistancy is what makes a good archer.
Or better yet take the money you were going to spend on a drop a way and get better arrows or a few lessons. Those may actually help you shoot better.
It might sound as if I am anti drop a way, but I'm not really. I actually like my muzzy, and the drop zone is not bad either. Both are overdraw rests though. The trophy taker style rest are not. Hower when you consider the price of the muzzy and drop zone I would rather have a good prong rest like the higher end GFK's. If you want one to just play with go a head and get one if you can afford it and like to tinker. That is why I got them. I certainly didn't need to try all the rests I have over the course of 6 or 7 years.
And remember these are only my opinions, nothing more.
Paul