My aim, as I weight myself for a dive, is to be in a balanced rig and able to dive with no air in my BC. None, nada, and squat. I took it to extremes lately and don't even have a bladder on my BC. Not everyone notices, but when they do, it can be funny. This past weekend I was at a local spring where an instructor had a class of two. One of the best things about a BC is buoyancy after the dive. It's the one thing I miss and I carry a sausage for just that. Anyway, at a spring, there's really no need to buoy up... I just sit/stand on a rock. The instructor noticed that I wasn't inflating, and asked me about it. Said I looked like a really competent diver, but that I should remember to inflate while on the surface. I said "with what?" and showed my back. The discussion was kind of funny, especially when I admitted to being an instructor. What complicated it further was I was using an LP120. Still, I was diving a balanced rig. I had complete control top to bottom with simply my breathing.
Don't get me wrong: BCs are awesome. They provide a level of easy control during the dive and are a safety device, especially after the dive. I teach and use them all the time. Just don't let them become a crutch that allows you to overweight yourself.
What do I mean by that? First, let's talk about a balanced vs unbalanced rig. A balanced rig is one I can breathe/swim-up at any point during the dive. If you have to add weights to sink, by definition it's a balanced rig... up unto the point you make it unbalanced by adding too much weight. IOW, you shouldn't have to drop weight to swim it up. In fact, a deep breath and you should be on your way up... but if you run out of air, then simply kicking should be adequate.
In contrast, an unbalanced rig is too heavy for you to easily swim up, much less breathe easily from the atmosphere while at the surface. You'll have to add air or drop weight to get to the surface. This is not good. Sub-optimal. Bad for your health should your BC bladder break.
Unfortunately, BCs, especially the bigger ones, can compensate for most unbalanced rigs. It's easy for a diver to convert a safety device into a death trap, requiring them to do things like drop weights, the entire BC or simply drown. It's important to not splash with an unbalanced rig without sufficient buoyancy backup. I dive with a double bladder BC, a drysuit, or safety sausage(s) in order to achieve such redundancy when diving doubles and such.
Unfortunately, #2, divers rarely prepare for worst-case scenarios. They plan their dives as if nothing will go wrong and often have to reinvent the wheel when the crap hits the fan when things fail. Dropping weights is always an option, especially if you done over-weighted yourself. In 50+ years of diving, I've never had to drop my weights. I hope this helps...