I think your hate of the US is blinding you a bit. Despite being American I don’t remotely care who wins the medals competition but the US has 1 less gold than Australia but 14 more medals overall; 2 less golds than Japan but 16 more medals overall. I think it would be insane to rank those countries higher.
France and China, that’s much of a closer competition but where was China in the 10 events the US medaled in that they didn’t, and does 2 more golds justify being on the podium 5 less times for France? Do you rate Japan and France equally even though France has nearly twice as many medals but the same golds?
The NYT chart shows US in 1st place only in about a third of scenarios, in the others they’re in 2nd-6th. They could just go by medal count instead of the chart if they wanted to push the narrative you’re talking about rather than make a chart which mostly has them in 2-6th place.
I don't hate the US. This is a fallacy that has arisen because of a few key athletes I dislike who I have been vocal about, and especially regards their media portrayal (in Jess Diggins' case, not even by the American media, but by British media personalities commentating for a British - and rebroadcast for an international - audience. If you dig into the XC skiing thread you'll find me cheerleading Sophia Laukli, for example, but that doesn't come up as often nor does it spark as much discussion as my more negative reactions to Diggins). I accept that the amount of races I've done in Latin America in the Race Design Thread has led to a lot of comments on US foreign policy in the region which has had an overwhelmingly negative bent, but that's because in all honesty US foreign policy in Latin America has deserved every bit of criticism that has come its way and more, and much of it is understandably whitewashed to the home audience just like other superpowers, colonists and imperial powers did in the past and continue to do in the present.
However, what I do view with wariness and have an overwhelming tendency to reject, is jingoism. Much of Europe has a fraught history with nationalism and a very terse relationship with it, and fear of its periodic sticking of its head above the parapet and the electoral success that it has leads excessive patriotism to be viewed with concern or even fear. This concern is not something that America can really relate to, but it does mean that much of the "USA! USA!" cheerleading and appeal to national symbols and obsession with the flag that has no real stigma in America is viewed by many as being vulgar or worthy of contempt. However, much of the time it is not American people (though admittedly sometimes it can be) propagating this stereotype, but the US media. While bias in favour of one's home athletes is to be expected, where this is to the detriment of the coverage of the overall event I will be critical, and have indeed slated the British commentary and the French TV direction for this already in this thread. It is by no means unique to the Americans, but this particular example of multiple US news sources rewriting the rules to favour themselves is a funny example of the US press' fragile egos and need to continually portray themselves as #1 to their readership/viewership/listenership. Like it's not enough for those news outlets to make sure that America isn't portrayed in a negative light, they have to make sure nobody else can be portrayed in a more positive light than America either.
The fact of the matter, however, is that the medal table as stipulated by the IOC is ranked based on the number of golds 1st, then the number of silvers, then the number of bronzes, and the total medal count is secondary to that as a tie break (which is why, yes, France are ahead of Japan). Every country that publishes a medal table is publishing based on these rules, except for multiple sources that have been provided, all of which are in one nation, which is changing the rules to put themselves at the top even though they'll probably be at the top legitimately by the end of the Games anyway. This is viewed with derision and ridiculed because it is a further example of the exceptionalism that is a large part of why both perceived and real anti-American sentiment is generated, and the fact that we now have people coming to the defence of this exceptionalism by creating a complex and entirely unnecessary mathematical explanation for why it's not ridiculous is having fun poked at it with good reason.