Of course, it would. You asked if this supposed insider info makes Rayleigh a threat and I said it doesn't because he doesn't know anything about it. The void century history is a different story altogether. It depends on how much it increased Roger's bounty. Rayleigh said the SHs can't do anything about it even if they learn about history so you need to be sufficiently resourceful to act upon the void century history.
Meanwhile, Kuzan knows every single detail about how the marines function. That could be pretty dangerous information to be leaked.