Why would you ever HAVE to be either one?
When you go to a resort, hop on the boat, and head for the weights they supply, you may find that you have to make some unpleasant choices because of what they have in stock. I have been on boats where the only weight options were frankly ridiculous. In one such recent case, I made a decision that will seem wrong to some, but worked really well, and it brings me to a point that has not been made yet in this thread.
I think WHERE you put the weight is at least as important as how much weight you have. For example, if I am diving steel double 120's with a BP/W, I am usually very much overweighted at the beginning of a dive, even without adding another ounce of lead. The fact that the tanks distribute that weight over my entire back helps me deal with that extra weighting effectively.
I was recently on a boat in Mexico with my ScubaPro Nighthawk, a back inflate BCD with characteristics similar to a BP/W. The boat only carried 4 pound weights. With that setup, an aluminum 80 tank, and my 3 mm wet suit, 8 pounds is about perfect, meaning it is the least weight I want. I therefore had to choose whether to go in with those 8 pounds only or double it to retain some sense of balance. I really wanted to have some of the weight in the trim pockets by my shoulders, so the weight would be distributed, as it is with steel doubles. I decided to try a dive with 16 pounds--way more than I would normally use--with 4 in each of the regular pockets and 4 in each of the trim pockets.
It was just fine. In fact, I thoroughly enjoyed the dive. I was able to maintain horizontal trim effortlessly. I have enough experience to avoid the overweighted/overinflated problem that String very accurately describes.
On another trip, with a similar what-do-they-have-on-the-boat dilemma, I ended up taking a weight and strapping it with a weight belt to the top of my tank, and it worked great.