If the police can’t verify your identity they will bring you back to the station in order to do so. Lying to cops/handing them a fake ID ain’t the best idea. This guy just got a fine for what he did. If he lied to them about his identity, that’s an actual criminal charge.
Although it's stupid to do so I routinely jaywalk which,of course,is a "violation" which might include a $25 fine. If I was ever stopped for jaywalking I just might lie to the cop.
Just sayin'...