it is a shame that you dont read hardy, because he got it, he understood why one should study mathematics. he is one of the few who spoke the (uncomfortable to academics) truth about mathematics. it is really reaching far and pushing a silly narrative to suggest that mathematicians dont quote him. yes, he is controversial for saying mathematics is a young mans game (it is), but he is certainly respected.think of Hardy when he wrote his essay about why mathematics is a young man'ss game), therefore i did not stay in academia.
I don't read Hardy.
Hardy was a mediocre (pure) mathematician. Maybe he is referring to himself. Mathematicians tend not to quote him ... it's a bit trite. And untrue.
Leonhard Euler did his best work after 61 (and he had 13 children). More recently, 90-year old Michael Atiyah claims to have solved Riemann Zeta.
Hardy is credited with reforming British mathematics by bringing rigour into it, which was previously a characteristic of French, Swiss and German mathematics. British mathematicians had remained largely in the tradition of applied mathematics, in thrall to the reputation of Isaac Newton (see Cambridge Mathematical Tripos). Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics which was an important part of Cambridge mathematics.
Mathematical physics died in the middle of the 20th century when they artificially split pure and applied maths. And maths was removed from physics because it was a nuisance.
And applying his Heuristics is a source of inspiration for solving problems"How to Solve It?" eh? I've got it, just need to finish reading it!