I have both and like both.
The DI system is lighter if set up correctly in 5.56X45 or 223. Once you step up to the 308 there is some piston guns that are lighter than some of the DI guns. In 308 it can go either way
There is a new piston carbine that is very close in weight to the average AR. It is also balanced well. Most piston guns are front end heavy.
My piston guns aren't any louder than the DI guns. Many folks use a piston carbine if going with a short barrel(under 14.5"), sound suppressor, or full auto. So I can see why some folks would think the piston is louder (shorter barrel). Many of these folks also add a brake which makes the sound louder to the sides.
In my opinion there is no reason to feel either system is superior to the other, they are just different. Many of our past and current military weapons are piston systems. Our regular M4 that is issued is DI. Some of our special ops units are using a new carbine that is piston, but that's very few of the actual number used.
Personally I would not build an AR with a piston system. If a person wants a piston system I believe it best to move away from the AR to get more benefit from the piston. The AR is well proven in DI - it has served well in the past and our military continues to order new DI system M4s.
The intended use will help you determine what system you want.