In the beginning of January 2020, president Trump was already informed by an advisor who had close contacts in Wuhan that the outbreak was much more severe than China made it look like. But he chose not to act on that, because the USA were in the middle of closing a trade deal with China. However later that month he changed his mind when the first infections in the USA happened, and later even more when a Chinese official came out with a theory that it might actually have been an USA sports team that visited Wuhan in late 2019 that was the source of the Corona outbreak (https://www.nytimes.com/2020/03/13/world/asia/coronavirus-ch...)
So this is not about 'people making this about China', it has been China from the start trying to cover this up and trying to make it about other countries. A more transparent Chinese policy would have given other countries the chance to react early and save thousands of lives.
Military games / Fort Detrick vaping disease troll was in response to Tom Cotton and co. formally spewing lab leak theory. Note earlier date in Feb.
https://www.washingtonpost.com/politics/2020/02/16/tom-cotto...
US politicized first, when soft measures failed a month after warning Wuhan lockdown. There was ample warning, enough that many of PRC neighbors with high traffic contained well with at least some effort in coordination. PRC position up until then was let science figure it out, Wuhan was very covid19 was first discovered but doesn't mean originated there. The brief domestic deflection in early Feb was possible import from ASEAN. Even early PRC "dis"info campaigns emphasized harsh lockdown not lockdown skepticism. Countries that didn't take Wuhan lockdown seriously got burned. Queue west being prominent source of exporting covid world wide by taking lax measures. This is seen in import statistic of every country that rigorously tracked imported covid cases - PRC exported very little cases, and essentially none few weeks after lockdown. North America / Europe, magnitudes more.