Nah, Takaichi doesn't give a crap about Taiwan. Her idea behind her statements is primarily to boost her own domestic image. Her crowd are the hawkiest hawks in Japan, and they're obviously very anti-China. Aside from this, Takaichi has very little political support and it was likely that her days as a prime minister were numbered from the very get go.I don't believe she is intending to fight China, I think she is trying to embolden the TI scum to resist peaceful reunification with a vague promise of intervention.
It's like she's dangling a check to TW while expecting the Americans to pay for it.
The bonus was supposed to be that this would also serve to suck up to Trump. But looking at how both Trump and the DPP have played the "I don't know her" card, I doubt this part is going according to plan. If there are any winners here, it's China because it's been given a free hand to bully Japan. I don't think Japan expected China's response to be so aggressive, and the response from the Chinese public seems to have been even more aggressive.