I’ve been wondered something like this too when I see people bring their scooters into a restaurant, the gym or other indoor spaces. I get that you don’t want it stolen but it would untenable if everyone did it.
I can definitely recommend falling on grass or mud rather than concrete or asphalt. ;-) And if you can't run off the scooter, rolling sometimes helps.
Even after my experiences crashing on a scooter, I still love riding them. Suspension can help you keep your balance a bit better, but there's always a failure point that's possible to hit if you're not ready for it.
I suspect e-bikes are a bit more stable than scooters, especially with bigger, fatter wheels, but then, you can stick a leg out or run off a scooter, whereas doing either of those things at speed is a bit harder sitting on a bike. And it's a different feel for the road/sidewalk.
if you crash on a scooter, is the crash and possible recovery complicated by the handlebar in your way?