Typically, carry trades refer to buying bonds and such. Borrow yen at low interest rate, exchange it to US dollars (if US has higher interest rates), buy US bonds, earn interest rate difference as a result. This is the traditional low risk carry trade,
Your example I believe passes as a carry trade. Pre 2008 had similar examples that included emerging market stock purchases and others. It supposedly aggravated the bubbles and during the crisis, they did dump risky assets and bought back yen. Sounds like you understood it correctly.