What the war in Ukraine showed is that GDP alone isn't a terribly useful metric. Western leaders assumed that Russian couldn't keep up with the west militarily using the same premise you're making. Russian economy was dismissed as being the size of Italy, and everybody thought that the west would swiftly defeat Russia because of that.

Turns out, what actually matters is the industrial base and productive capacity. Manufacturing accounts for only around 11% of the GDP in US https://www.statista.com/statistics/248004/percentage-added-to-the-us-gdp-by-industry/

Furthermore, we can look at steel production volumes to get an idea of the size of the productive industry in US. According to official data, US produced 6.8 million metric tons of steel in June last year https://www.trade.gov/data-visualization/us-steel-executive-summary

This is comparable to Russia, which produced 5.8 million metric tons https://www.statista.com/statistics/1079878/russia-steel-production-volume/

And it’s important to keep in mind that Russia has a much smaller population, so per capita productivity is actually higher than in US.

So, while overall GDP in US looks really high, much of it doesn't translate into anything meaningful. In fact, a lot of this GDP comes from stuff like health insurance industry that's a net negative for society.

While you can say that US and Russia have similar growth projections, the key difference is in which industries this growth is happening in.