Lifetime of 3d state shorter than 3s state in hydrogen atom

Can you say that the lifetime of the 3d state in the hydrogen atom is shorter than the one of the 3s state because the centrifugal energy associated with 3d is higher than the one associated with 3s? By centrifugal energy I mean the contribution given by

$E_{rot}=\dfrac{l(l+1)}{2r^2}$

to the total energy. I am trying to explain atomic transitions intuitively (without having to calculate the transition strengths) to somebody, and I would like to know if I can use that argument or where it fails. Cheers

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