Tickets aren't "criminal". It's just a ticket. And yes, drivers do get ticketed and fined when they drive on the pavement.
But a ticket does not criminal charges make.
But a ticket does not criminal charges make.
I suspect that, in light of that, you get tickets for criminal behavior.
There are less criminal charges, for sure -- like driving at night without working headlights, but that still violates the law requiring you to maintain a safe and drivable vehicle, and is as such a criminal act.
As for speed limits and jaywalking specifically, you appear to be right that they aren't criminal offenses until a threshold has been crossed (e.g., speeding 15 over the limit). But those seem to be considered 'infractions', and I admittedly don't know where the lines are.
Felonies are major criminal offenses. Misdemeanors are minor criminal offenses. Infractions are oopsies.
Most traffic charges are treated as infractions, even when they lead to levels of damage or injury that would ordinarily mean a misdemeanor or felony. Cars are somehow "special." If you want to get away with murder in the US, definitely use a car not a gun.
(But don't be drunk. Drunk driving is no longer socially acceptable -- if you're drunk and kill someone with your car, that's serious jail time. If you're just a bad driver and kill someone with your car, that's an oopsie.)
Criminal cases are when a law is broken. Therefore, jaywalking is indeed a criminal offense, albeit a very minor one.