I think the biggest reason is that a backplate is a rigid support for backmounted double tanks, and therefore keeps them stable. In general, technical diving of any sort is done with an eye to redundancy, which means at least two tanks and two separate first stages. Sometimes they are manifolded together, so that either first stage can access all the gas in both tanks. In this setup, they sit on your back. It's a lot of weight and mass, and a fabric BC can have difficulty holding it all in place. A backplate supports it all nicely.
When you arrange the tanks differently (for example, on either side of your body, as sidemount divers do) then you don't require as sturdy a support, and it can sometimes even cause difficulties. So sidemount rigs generally do not involve a rigid backplate.
People who are doing deep dives, or going inside of wrecks or caves, think a lot about risks and benefits. They work to make their equipment streamlined (for easier swimming, and to avoid entanglement) and simple (to reduce things that can fail or cause problems). The simple BP/W setup has more or less evolved as a good solution to meet both of those criteria.