I don't even think it's that reasonable. The RH (and GRH and ERH) are analytical or statistical statements, and lead to conclusions like "there must be a prime in this interval", or "there must be a quadratic non residue in that interval mod N", and so on and so forth.
I'd love to see a really fast factoring algorithm, but I just don't see how proving the RH or any of its variants is likely to lead to it.
This all is very vague
but one can conceive of a theorem
stating that any prime factor must lie in a certain specified interval or intervals.
Intuitively
it seems that a proof of the RH must involve an enormous new insight
into the distribution of prime numbers
and the consequences will be stupendous.