When most refer to "jacket style" BC's they mean the type in which the air bladder comes around to the front of the BC. Back inflate BC's have the air bladder strictly in the rear. In hybrids, the bladder comes about 1/3 of the way around the side, but it is mostly back inflate. A BP/W is a type of back inflate BC. I have all 4 types of BC's. I no longer use the jacket inflate BC,... just too bulky & I don't like the all around squeeze it gives you. I use the hybrid for teaching in the pool. It holds me horizontal in the water & a little more stable on the surface. I use a traditional type back inflate BC (not BP/W) for recreational OW diving & teaching in the OW. I use my BP/W for my technical equipment (double cylinders). There are many who like the BP/W for single tank recreational diving. The like the way it is modular & parts can be swapped out to personalize it to their needs & body type. Personally I found with the single tank adapter, it held the tank higher off my back & was a little more unstable, than a traditional type BC, but that is just me. Many don't have that issue. With doubles, it is quite stable. The really only way to see if you'll like it or not, is to dive it.
If on a traditional style back inflate BC, the bladder is ruptured beyond a simple repair, then yes, a whole new BC must be purchased. With a BP/W, the inner bladder can be changed out. My question is what will you plan to do that is that rough on a BC? The materials that most BC's are made of is very tough. There are environments that can be very rough on BC's, but that is usually advanced type diving (wrecks, caves,.....). You are not very likely to have anything like that happen in OW.
As for a traditional BC that can handle doubles, there are a few. I know Zeagle's Black Diamond can. Whether they are stable or not, I don't know. For doubles I use the BP/W.