No, it's the heart of the matter. If He earned death, then He wasn't the unblemished, sacrificial Lamb of God. Jesus was not a criminal... not even by the standards of the day... and your point, albeit a humorous take, is nonsense.
I'm not really trying to be humorous. I'm sure if you could find the records of the day, Jesus would be listed as a convicted and executed criminal.
Do I think he had sinned? No. Do I think he deserved to be executed? No. But that doesn't take away from the fact that he was a convicted criminal.
I'm sure he was not the first nor the last innocent person to be convicted and executed.