Very likely; US public opinion puts massive constraints on what's considered acceptable troop losses and deliberate infliction of civilian casualties. Given how China's treated the Uyghurs, I suspect a Chinese invasion of Iraq would've looked... different.

Before the war, a solid majority (66%) favored using military force to overthrow Saddam Hussein. Once the war started, a similarly large fraction of the American people thought it was the right decision. Public opinion didn't shift into the negative until quite a bit later, a while after Abu Ghraib.

https://www.pewresearch.org/politics/2023/03/14/a-look-back-...