It’s always intriguing seeing the trampoline discussions here, because in Australia trampolines are so ubiquitous. If you have a back yard and kids, at some point you’ll probably have a trampoline.
And despite almost every kid I know having access to a trampoline, I don’t personally know of any injuries from modern backyard trampolines (Trampoline parks are a different story!). I am sure they happen, but considering the number of backyard trampolines they aren’t very common. My dad was an ED doctor, and his hills to die on were rugby, rodeo, and motorcycles. He wasn’t given much work by trampolines even back in the 80s.
I’m fairly wary of them, having broken a bone falling off one as a child. But modern trampolines with nets make that a much less common injury now. The very few injuries I have heard of (not folk I know personally) seem to occur as the result of double bouncing of little kids, or poorly maintained nets. Easy enough to avoid both with supervision and attention to detail (nets need inspecting and replacing regularly here as they perish due to UV).
I drum it into my kids to jump as if the net isn’t there. But it’s nice to know it’s there and in good condition for if things go awry.