That's an interesting question. I have no idea. Does genome size in energy efficient systems grow more rapidly than in less efficient systems? Unfortunately, my knowledge of biology, genetics, etc., is just about zero and never increases!
Also, if the doubling time of complexity has reached about every 20 years where are all the newly advanced life forms & super-duper supermen?
Another good question. I've been wondering the same thing. I mean, has the size of the human genome doubled in the last 20 years, quadrupled in the last 40 and octupled since I was a child? Are kids today eight times smarter than my generation? I don't think soooooo. Otherwise, holy smokes: My greatgrandmother, who was born in 1860, and whose knee I can remember sitting on, must've been a Neanderthal!
Not certain about that, but I do know that aerobic life exploded after the Event. I would make a wild guess that as life diversified, moving into brand new territories, it also increased in genome size. I could be wrong about this, but I believe that the surviving anaerobics pretty much stagnated, right down to the present: mainly bacteria, with a few other primitives.
In the intervening time since posting, I did some checking, and the anaerobic energy pathways are less than 10% as efficient as aerobic metabolisms at producing cellular energy.