They're both NTSC so in theory it should run pretty much the same. I know that's the case for the SNES and N64 running Japanese games, I would assume as much for the NES too.

Considering running this game soon, but the only hardware I have access to right now is a NA NES with a Famicom to NES game adapter (and I don't feel like using an emulator). Is this permitted? I have no idea if this makes the game run any differently than on Japanese hardware but I would assume not as some NES games were actually Famicom games with an adapter inside an NES cartridge.