While it's definitely helpful to clarify the definitions of YOY & QOQ growth rates - China and US publish both figures, although the US likes to use annualized QOQ rates which gives a better sense of short-term momentum and China prefers to use YOY which tells more accurate picture of the actual growth.
It's more important to go beyond the headline growth rates to interpret the numbers and understand the implications. For that, you need broader context and some drilldown.
The US economy is more driven by consumption (70+% GDP), not investment or export. Therefore the quickest way to revive the growth of the economy is to stimulate the demand side. That's why we see the US often resorts to tax cuts, stimulus checks and other transfer payments. Investment takes longer to have any effect. The US economy suffers from long term neglect of investments, which are reflected in the state of infrastructure and hollow-out of manufacturing. The US economy is set to bounce back very strong from the hit of pandemic, maybe too strong. It is essentially fueled by the huge increase in debt and deficit, including the $0.9 trillion spending from Trump administration + $2.1 trillion from Biden administration. That's roughly 15% of US GDP, which likely buy the US 6+% YOY GDP growth. I'm not even including the $2.2 trillion stimulus spending early last year. The US is getting a short-term boost by worsening the long-term prospect.
China's economy is almost the opposite of the US's. It's consumption is around 40% of GDP, while investment + export are much bigger drivers of the economy growth. They're also quicker to have impact during a downturn because the Chinese government controls of or have levers over a significant portion of the economy (state-own enterprises and state-owned banks). The current recovery of economy is more driven by investments and export, although the consumption has largely recovered, but not yet at the pre-pandemic level. You'd expect more incremental growth come from consumption going forward. The long term structural problem of China's economy is insufficient consumption, relative to investment + export. To be fair, Chinese consumption in aggregate and growth is pretty good, it's just that is overshadowed by the strong performance in investment and export. Put another way, China's growth would have been still good but not as impressive without the extraordinary performance in investment and export in the last two decades (taking advantage of the entry to the WTO and the globalization).
Here is a question: If it were you, would you prefer a more balanced (around 50% consumption) but much smaller Chinese economy, minus the shining infrastructure and the globally competitive manufacturing industry including many hi-tech ones?
Or put it another way: neither the US or Chinese economy is perfect structure-wise, if you have to pick one, which one would you rather to choose from an economic structure standpoint? Note that I'm talking about structure not GDP size of GDP per capita etc.