That is incorrect. The US, UK, and others were taking a mitigation strategy until the last couple of days; the change wasn't driven by delayed blind copying of China, but by this analysis, which was shared with governments as a WIP before being published:

https://www.imperial.ac.uk/media/imperial-college/medicine/s...

There may be legitimate criticism of the broad policy approach, but “blindly following China” isn't one of them.