That really is an interesting question. Harry may well be right, but any electronics gurus know for sure?
Should the AC bypass the battery, I'd use it often. One good thing is that Sony's charger has nice long cord.
Somehow I wonder, as once the LED light goes out, I notice the transformer no longer is warm. On the other hand, constant reading might cycle it on and off, who knows? That is a literal question: Who Knows?