I still dive with no BC 75% of the time. I learned in 1966 with no BC, there were none! Much effort and time was spent in these earlier scuba courses learning how to accomplish this feat of antigravity. Also, during this era divers used surface floats and paddleboards for beach and shore dives to aid long surface swims, I did also but now use a kayak for a surface float. Of course diving from a boat presents no unusual problem for a diver without a BC.
The key to diving with no BC is the steel 72. This tank has the perfect balance and bouyancy with little bouyancy swing. Also some LP double 38s, 45s and 50s of that era did so as well. The use of heavy steel tanks as is common now did not really come into being until much later. The steel 72 with a full 2500 psi fill has over 72 cf, the aluminum 80 is actiually only 77cf and with a typical short fill no more than a steel 72. Of course, the common 80 actually does OK with no BC, you just tend to be more positive near the end of the dive than ideal but easily delt with.
There are times that the BC is useful, heavy exposure protection in cold water, so called "tech" diving where the diver may have a considerable equipment load come to mind.
I can maintain perfect balance and bouyancy in fresh or salt water with up to a 3/2, after that it can become challenging such as with a 1/4 full wetsuit. The bouyancy swing as the neoprene crushes results in your becoming negative and it is that reason it is a challenge
Further, being slightly positive was often the goal when the tanks were near empty, in that time we did not do safety stops, that also came along later. I can hold a safety stop if slightly positive but surely would not want to do deco that way--lol.
Here is a picture of a modern rendition of the original style harness on a steel 72 with a USD Mistral (1958 and owned by me since about 1968 with hundreds of dives). This harness uses modern ScubaPro bands such that it can accept tanks of 6.7 to eight inch diameter easily--excellent for travel.
Oh, I will add one other thing, old divers, well, we had to be strong swimmers--and --I am.
Edit spelling
N
NAVED Master Diver 111