Information these days are increasingly biased some way or another for every side for whatever reasons they have.
Even the most reputable agencies on reporting GDP of countries, you need to read how the measurement is. Just like in chemistry, the phrase concentration of substance x is y% is a worthless statement unless it species % in what form? weight? volume? etc. Good reputable publications and agencies would tell you if it is by adjusted form and if so what adjusted form etc.
As for the wider conversation, all these metrics are actually very umm difficult to use specifically. More interesting and more valuable to GDP are actually wealth producing metrics since GDP includes lots of valueless bullshitting. For example, the US includes insurance industry as GDP. Or for example a divorce lawyer in the US makes $100,000 on one high caliber divorce settlement. Meanwhile China's social structure and divorce structure is different and an equivalent worker makes $1000 USD equivalent on a similar case. Both country's GDP measures are very heavily influenced by respective debts, how property markets work, how loan markets work, how these are accounted (actually kinda complex and not simply a $10M property old = $10M to GDP).
In any case, both countries GDPs are heavily inflated in some ways, accurate in others, under valued or totally not accounted in some (and both vary in how they choose).
The important aspects are really, education, size of educated (certain levels) population, employment in different levels of industry and value chain, industry depth, infrastructure (particularly transport infrastructure), industry spread (what industries your country is involved in, dominant in, has presence in), research, universities, labs, science institutions, governance, organization of how all these interact and function and how dependent they are and how rugged they are to external disruptions.