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No, it does not require a single assumption, that's what the entire line of questions before was showing. The version of events you deem possible requires more assumptions than should be allowed for it to actually be possible. No details are unnecessary when they ultimately result in a lasting effect, and the details you're avoiding impact your overall premise.
The initial assumption, that Todoroki could have only made enough ice to cover them, requires additional assumptions about Aizawa's reaction speed and/or decision making in regards to his cloth freezing over. Todoroki cannot make only that amount of ice without Aizawa reacting to his capture tape freezing, so in order for your possibility to occur, Aizawa needs to react in a specific, unorthodox way, with no supporting evidence from the manga itself to show why he would choose said thought process.
The assumptions necessary are faulty enough to disregard your possibility. You're assuming things you have no way of knowing about, with no evidence to help you. Your possibility is not plausible.
The initial assumption, that Todoroki could have only made enough ice to cover them, requires additional assumptions about Aizawa's reaction speed and/or decision making in regards to his cloth freezing over. Todoroki cannot make only that amount of ice without Aizawa reacting to his capture tape freezing, so in order for your possibility to occur, Aizawa needs to react in a specific, unorthodox way, with no supporting evidence from the manga itself to show why he would choose said thought process.
The assumptions necessary are faulty enough to disregard your possibility. You're assuming things you have no way of knowing about, with no evidence to help you. Your possibility is not plausible.