I think we shouldn't all get to hung up about number 1 status. Or GDP measurement. Yes it is important to show how far China has come in a few decades or indeed since the end of chin dynasty. But we mustn't use it as a dick measuring contest.
China should strive to greater GDP for the improvement of its people and for the defence of her sovereignty and dignity.
We all seen China has suffered in the past two century's at the hands of foreigners because of her relative small GDP.
GDP is only good as measurement for comparison against others. China real GDP as measure in PPP is where the cutting edge is. This is where China gets more bang for it's money.
I agree with you in substance. China should not pursue it for the sake of it. It's just a by-product of China's growing economy. China will get there.
Nevertheless, it's important from a psychological standpoint. The contest between the West and China increasingly has gained a psychological and narrative dimension. China re-claiming back the #1 economy status unquestionably will deal a psychological blow to those who still harbor superiority complex. It'll be a hard-power metric translating into a soft power impact.
Think about the Hong Kong riot last year. We all know what had happened in Hong Kong with all the violence and crimes committed by these rioters, yet the western media continued to indulge in lies and disinformation. What happened in the streets of the US earlier this year are the best rebuttal to these liars and lying media, exposing their falsehood and hypocrisy.