Im not arguing the Saturn might have higher input lag than the Genesis. But the Saturn emulator definently has higher input lag than the real console.
Also, the input lag in the Mupen core seems to be on par with the real console. Some games have up to 4 frames of lag but others like Smash Bros have zero lag, which means the enulator doesn’t add any additional lag.
But i haven’t found a Saturn game that has less than 3 frames of lag on Beetle Saturn, which makes me think it adds that amount in all games no matter what.