Large school buses are heavier and distribute crash forces differently than passenger cars and light trucks do. Because of these differences, bus passengers experience much less crash force than those in passenger cars, light trucks, and vans.
NHTSA decided the best way to provide crash protection to passengers of large school buses is through a concept called “compartmentalization.” This requires that the interior of large buses protect children without them needing to buckle up. Through compartmentalization, children are protected from crashes by strong, closely-spaced seats that have energy-absorbing seat backs.
Statistics bear this out, taking a school bus to school is about 70 times more likely to deliver a student safely. In this context, 70 is huge.
They slide sideways out of the seats trough any serious horizontal forces, in the case of a rollover their heads will violently hit the roof as they literally take off from the seats [0], and then fall on the people on the ground side.
I understand that getting a horde of kids to put on seatbelts is a compliance nightmare, but imho it's difficult to argue how that wouldn't make a massive difference in a crash scenario, particularly during roll-over incidents [1]
[0] https://youtu.be/ksw67zFnuAE
[1] https://youtu.be/l4uHbX0SL_w (NSFW)
I can't remember ever seeing pictures of a city bus (as opposed to a long distance bus) overturned in an accident in Europe. City bus-type vehicles are used for public bus service and school bus service ("school bus" is a usage, not a type of vehicle) but searching for things like "bus crash England" shows very, very few cases where a bus has overturned, even when it's come off the road and slid down a slope.
If [1] is anything to go by, the bus needs to hit a similarly heavy vehicle to overturn. Could the American school bus design be susceptible to climbing up/rolling over a car, then tipping, compared to the typical European low-floor lower-centre-of-gravity bus?
(No doubt there are other factors that influence the American school bus design.)
[1] https://www.theguardian.com/uk/2009/dec/16/bus-toppled-colli...
US school busses are heavy and sit very high. Busses can be hit by cars with little force imparted to the occupants. The most dangerous thing about school busses is the risk it poses to the other drivers that hit it: https://www.chron.com/news/houston-texas/houston/article/Cra...
Now... getting kids to actually use them is a different matter.
The bus is generally the largest vehicle on the road, and an impact from a car (or even pickup truck/suv) is unlikely to significantly move the bus. Plus - the sit very high, and impacts tend to drive the other vehicle down - rather than moving the body of the bus.
The only situation they really are useful is when the bus rolls, and for buses that aren't driving highway speeds (which is most of them), they almost never roll (the only exception is essentially driver error - where the bus leaves the road on slope)