So the conductor kindly warned me about the ban on e-scooter and I quickly looked it up:
https://www.njtransit.com/Services/bikes-and-other-services
E-Scooters And E-Bikes
Scooters and bikes with motors are not permitted on any trains, buses, light rail or Access Link vehicles, or at NJ TRANSIT stations and outlying property. Customers are not permitted to ride, charge, store or transport these devices anywhere on NJ TRANSIT's system.
So indeed, e-scooter's worst than a bicycle apparently. Searched deeper, looks like it has something to do with batteries exploding, popularized by hoverboard fails. But I think it could also be the intolerance of seeing E-scooter leaning against the seat. If only I didn't do that and try laying it on the floor...at least try to fit it, I wonder if the conductor would mind. After all, this restriction was said to have posted since May 2019 and I have no clue until now, doesn't seem like it's been enforced.
So while I'll try to keep my head down and continue carry my e-scooter on the train more discretely like either laying it entirely on the floor or seat in those spacey end of the car, I should really look into building my own e-scooter, I have the parts, I have Youtube help, shouldn't be too hard once I get the drawing board done. I need to build one that is foldable (since there's none in the world that I know of because MiniFalcon turns out to be a scam).
Let's call it a project!
It's interesting the transit allows Segway:
Customers traveling on trains or light rail vehicles with Segways should refer to the Bicycle on NJ TRANSIT Trains or Light Rail sections above. The permitted Segway carriage time periods, requirements, and restrictions are the same as for bicycles. Information provided within the General Safety Reminders, Emergencies and Liability sections also apply to Segway users. Segways are not allowed on bicycle racks on buses.
My alternative would be to get a folding bike that doesn't look like an e-bike which is not allowed. Folding bike is allowed at all times while regular bike is not allowed during rush hours.