I’ve played Spy Hayley for a bit this Store Championship season (even won one of them with it). I didn’t face Prison in my meta, but I’m not sure if it really has a bad match-up against Prison.
Yes, you won’t be able to contest early assets, but once you have your set-up (3-5 turns), the amount of money you make is insane. And you play 3 Levy’s, 3 Hoppers, and can substitute a Deus X for one of the Sharpshooters. You can get into any server and make money doing so, so you can reset archives against IG and handle big ice like Crick, DNA Tracker and Komainu without tempo loss. You can also clicklessly check R&D for agendas and not waste clicks that you need for keeping the board in check.
I actually think it’s the opposite, Russian NEH, and CtM seem tougher than Jinteki Prison. Not only are they likely to be able to rush faster than Hayley can keep up, they can also mess with your resources.
Why do you think Prison Jinteki is tougher than NBN asset spam?