The idea floats around, doesn't it? That if Alice really needs to go serious, she can whip out her grimoire – and most likely by that point use her Makai powers too.
But at this present point, she seems to be fundamentally struggling while using her dolls. Being forced to fall back to those two options might hurt her pride as a magician. That is to say, she'd rather lose as a puppeteer than win as something else.