Early achievement is just that. Early achievement. Even if by the age of two, a child is placed by child psychology experts in the 'future genius category', being better than everyone else is no guarantee of future success or mental wellbeing in adulthood. Has being a child star worked out well for many, long term?
As other parents, you should never feel inadequate because your children have not addressed the UN climate change committee or reinvented the internet using AI. So what if your 13 year old is not on the front cover of Forbes magazine, you have other metrics to value their worth. Support their interests, but don't turn them into little sociopaths. Especially when there are siblings involved. Fundamentally, wunderkinds only make headlines because of unrealistic parental expectations.
As young kids we dedicated our efforts to collecting badges, belts, pins and school certificates. It's what all kids did. And then we became teenagers and discovered all things to do with money, sex, rock music [electronics] and cosmetic products. Finally, after a period as trainees, apprentices, interns or students, we graduated into the world as tax paying parents, with kids of our own. Kids who collect badges, belts, pins and so on. You failed, you fell over, you got up. It's what all kids should be free and able to do.
Hey teacher ( at university ), leave them kids alone.