On my first playthrough of the game in the Hospital, I did the section where you are chased by the hand and grabbed the battery (Don't know what to call it), and then left with Six to reach the main hall. I came out of that section to find a battery already next to the lift, and with the one already in my hand, I more than likely could have powered the lift right then.

However, first playthrough and all, I went into the mannequin section instead of putting both batteries in (exploring and stuff). I also unfortunately failed to get any kind of picture or screenshot because I didn't know if it was just a part of the game or not, but I definitely remember it being there. I don't know how to replicate it, nor how it happened in the first place. My only guess is the fact I died in the hand section, but it would be huge if it is replicable. Sorry to bother. I'm mostly only a watcher of speedruns, but I thought that it was something that should be known.