Stopple's asymptotic counting conjecture for zeta-derivative zero types

Assume the notation $N_0'(T)$, $N_1(T)$, and $N_2(T)$ denotes the counting functions up to height $T$ for zeros of $\zeta'(s)$ of types $0$, $1$, and $2$, respectively. Stopple's zero-type counting conjecture. For some constant $C$, possibly equal to $0$,

$$N_0'(T)=\frac{1}{8\pi}T\log\left(\frac{T}{4\pi}\right)+\left(C-\frac{\log 2}{4\pi}\right)T+O\left(\frac{\log T}{\log\log T}\right),$$ $$N_1(T)=\frac{1}{4\pi}T\log\left(\frac{T}{4\pi}\right)-\left(2C+\frac{1}{2\pi}\right)T+O\left(\frac{\log T}{\log\log T}\right),$$ $$N_2(T)=\frac{1}{8\pi}T\log\left(\frac{T}{4\pi}\right)+\left(C+\frac{\log 2}{4\pi}\right)T+O\left(\frac{\log T}{\log\log T}\right).$$

These formulas predict the separate asymptotic distributions of the three types of zeros of $\zeta'(s)$ and refine the aggregate counting relations established earlier in the paper. The value of $C$ is left undetermined, and no resolution is supplied.