For a 10 minute commute daily commute, the break even point for buying a scooter vs renting one comes in less than 60 days.
Look up the boots theory of sociological unfairness. You're able to save money this way because you can afford something sturdy and reliable, whereas poor folks, if they buy something, buy something that is cheap and will break quickly. They'll need to do this over and over again, which in the end causes them to spend considerably more money than you.
Rental scooters (and bikes and e-bikes) may feel like they're more expensive in the end, but they're generally much cheaper, when you consider repairs or replacement, and especially when you consider theft (which will be covered by your insurance, but poor folks don't have that).
Also, most scooter/bike rental companies have outreach programs for poor communities, which drastically lower the cost, or provide service for free.
I can assure you I've spent far less not owning a car, even with every Uber ride, car rental, scooter rental, transit, and taxi ride.
Additionally, depreciation is not linear. I drive an older vehicle, it has already mostly depreciated as far as it will go.
Only if you have an alternate way to get to work like good public transportation. Otherwise buying a depreciating asset like a car is the only way to survive in many places. It's like paying rent. Perhaps not ideal, but it is a practical reality for many.