Any athletic pursuit is going to injure you eventually.
Not pursuing any athletics is going to kill you and make the late years of your life frustrating a you lose capabilities. And you'll probably get injured as your body deteriorates.
I think a lot of people do these lifts with way too much weight, opting to play the stats game with the poundage while sometimes doing just two reps per set. More reps with less weight and it's a safer workout.
Anything physical pushed to the limits will result in injury. Most people never get an injury casually playing pickup basketball. Then watch one season in the NBA, you'd probably see half a dozen ligaments snap on live TV.
I don't think any NBA player has injured themselves from deadlift, because they know how to lift properly and are supervised by physical therapists during practice of course, but in the intensity of an NBA game this is no longer a controlled reaction taking place. Lifting heavy puts strain on a lot of variables at once, not unlike an all out NBA game.
Do you have stats to back that up? I'm having trouble finding it, but the only study I've ever seen on the subject showed lifting as being fairly on par with other athletic activities.
However, when it comes to results, squat and deadlift are way ahead in producing muscular and skeletal adaptation.
Not pursuing any athletics is going to kill you and make the late years of your life frustrating a you lose capabilities. And you'll probably get injured as your body deteriorates.
You choose.