What happens if Bill does not show up if you beat cinnabar gym?

If Bill does not show up after you defeat the Cinnabar Gym, you won't be able to progress in the game as he is crucial for accessing certain features, like the Pokémon storage system. His absence may prevent you from completing tasks that require his assistance, such as obtaining the Surf move. In essence, you would need to ensure he appears to continue your journey effectively.