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I got bored of this dicussion a long time ago, but I'm commenting again just to make sure my vote was counted. Anyone may look back to my first comments here to see that I was originally conflicted and gave it to Monika after a hard fight. After further thought (ie applying common sense), I took that back. How we define the verse the battle is in (purely a real world, where they have their powers as if their VNs were a real world, or as a digital space they both exist in) is irrelevant. Using the latter definition gives Monika time manipulation and mind manipulation that work on Miyuki. Using the former removes Monika's time manipulation, and depending on how you equalize them, may or may not remove Monika's mind manipulation (depending on if you give Miyuki a chr file to be manipulated). This doesn't matter, since Monika wins either way.
If viewed as a digital space their games exist on, then Monika immediately starts looking for KtK (or Miyuki's chr file if equalized so she has one), and deletes the whole thing as soon as she finds it. Miyuki will waste time satisfying-herself/teaching-the-player-a-lesson by beating Monika's avatar to death with a baseball bat, before trying, and failing, to delete her. This is supported by canon personality, supported by SBA, and supported by the OP. Monika would have the time to delete Miyuki's game (or chr file). Potentially even before Miyuki tries to delete her at all. Barring that, Miyuki deletes her and doesn't realize she can survive it, losing anyway.
If viewed as a real world they're 2C within, where Monika isn't limitted by having to find specific data and can just use her powers on Miyuki directly, then she either deletes Miyuki the second she notices her, or she instantly mind-manips her to uselessness. Either way, in a real world without digital caveats to abuse, Miyuki has no way to overpower Monika's existence erasure resistance and she had no hope of winning from the start.
If viewed as a digital space their games exist on, then Monika immediately starts looking for KtK (or Miyuki's chr file if equalized so she has one), and deletes the whole thing as soon as she finds it. Miyuki will waste time satisfying-herself/teaching-the-player-a-lesson by beating Monika's avatar to death with a baseball bat, before trying, and failing, to delete her. This is supported by canon personality, supported by SBA, and supported by the OP. Monika would have the time to delete Miyuki's game (or chr file). Potentially even before Miyuki tries to delete her at all. Barring that, Miyuki deletes her and doesn't realize she can survive it, losing anyway.
If viewed as a real world they're 2C within, where Monika isn't limitted by having to find specific data and can just use her powers on Miyuki directly, then she either deletes Miyuki the second she notices her, or she instantly mind-manips her to uselessness. Either way, in a real world without digital caveats to abuse, Miyuki has no way to overpower Monika's existence erasure resistance and she had no hope of winning from the start.