I really pike your Tooru theory! Is also like to add on that its really questionable on how she got into the academy in the first place. Like, how would she have destroyed a robot?
I have racked my brain about this and it frustrates me on how little information we have about her and her quirk abilities in the first place. We know that she isn’t powerful and is only given 2/5 on her power level, but she’s given a 4/5 on both intelligence and technique. She couldn’t have used her fists effectively like many of the other kids so I think there’s a possibility used her surroundings and brain somehow.
The only thing I could think of is her luring her robots to some part of an area that was maybe run down and collapsed on them or having a trap or some sort set up for them. Thing is, the battle didn’t last long at all so how she would set traps up in such a short amount of time is what confuses me. Her speed is average so I don’t know how that would work?
Tooru could have also messed with their wiring and short circuited or disabled them. She’s invisible so there’s a possibility she was able to sneak behind them and take them out that way. Which I think would be the most believable.
But she’s incredibly cooperative as well so she could have gotten by with rescue points as well and helped others. Since there were rescue points, why not assist points? Heroes are suppose to help each other so it makes sense. We know because that’s how Izuku passed.
Her fight with Snipe wasn’t shown at all, and we only have Izuku saying that it must have been a game of hide and seek. Then we we’re shown how she made it to the calvery battle either.
Those are the possible outcomes that I’ve thought of though. I don’t know how plausible they are but they’re what I can think of at the moment!