By see it coming, I mean she doesn't know he has it. Blood lusted he is likely to use it for a kill. As for it Being absolute zero, good question, I assumed since it could put out stars it was, but that assumption may have been incorrect. Their reaction being the same means she is just as likely to get hit as he is to hit her. Reactions aren't a factor with speed equalized.
Heat Vision can be dodged. Never said it couldn't, but when concentrated with microscopic vision, I see it becoming a problem.
As for versatility. Eh, I mean, this site doesn't list every power Pre-Crisis superman has, but I assumed he had access to all of them. A mod can corre t me on this, but that is a lot of powers. Most of them useless here, but some could prove effective. Really can't give either the versatility advantage myself.
Tone manipulation, to me, is her greatest strength, as is her apparent ability to survive a paradox. But if Superman can travel back in time and kill a weaker version, and she can't follow, I mean, I'm not sure how this would work.
Again, Does she have any resistance to hypnosis? If she does, that helps her case even more for me. I am always willing to change my vote, just trying to narrow reasoning down.