Just isn’t something in super high demand. That and density are probably the only major advantages right? And I don’t imagine the equipment to "read" that data will be very compact in the foreseeable future.
I would imagine reading would be done in a similar way as it is today: amplification and sequencing. Data would have to be given a hefty amount of data correction. There are no apparent show stoppers that I’m aware of, just not enough interest.
Going with the Kuzweil estimate on Wikipedia, human brains are about 1e15 ops/Joule, whereas the best in the Green500 list (June 2019) is 1.76e10 ops/Joule.
I would agree with you, but with the current ability to suspend, I don't see the point. I always just suspend when I would otherwise power-off. The only times I power-off now are when I don't use my laptop for many days and the battery just completely drains itself, when I want to load an updated kernel, or when the power goes out in the neighborhood. They're all pretty rare events.
If you're talking about DNA storage, then cost, durability, speed, energy, reliability, size, etc. Are all issues.
What might work is NRAM or correlated electron RAM.