Is it the case that most successful mathematicians have very high Maturity and Proficiency(do it without thinking) in Calculus and Linear algebra, both calculation part(double/line integrals, eigenvalues etc...) and theory part (reconstruction of important theorems with proofs without referring to books) ?
In other words, is these maturities and proficiency very important for doing further research ?
If not, are there well-known mathematicians in the history who somehow not very proficiently perform the elementary calculus and linear algebra etc.. both in calculation and theorems
(e.g. multiple/line integrals, tangent plane, eigenvalues, quadratic forms, solve ODE....)
but still very successful in research ?