> If the US is not trying to defend the US dollar, why'd they use Euros and not USD to prop up the Yen
Because that was the legal facility open to them. They used a foreign currency reserve that they had the ability to trade.
> And, if it is better for the US if Japan normalized rates, then why did the US buy yen at all? According to you, just telling Japan to raise rates would be better, right?
Yes. Go re-read my comment: Japanese politicians do not want rates to go up. It’s like a cornerstone of current LDP policy.